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406440660 = 2235113151397
BaseRepresentation
bin11000001110011…
…100101011010100
31001022210022202210
4120032130223110
51313022100120
6104155233420
713033455123
oct3016345324
91038708683
10406440660
1119947497a
12b4148870
1366288042
143bd9daba
1525a36ce0
hex1839cad4

406440660 has 96 divisors (see below), whose sum is σ = 1158619392. Its totient is φ = 106444800.

The previous prime is 406440611. The next prime is 406440673. The reversal of 406440660 is 66044604.

406440660 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1023582 + ... + 1023978.

It is an arithmetic number, because the mean of its divisors is an integer number (12068952).

Almost surely, 2406440660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406440660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579309696).

406440660 is an abundant number, since it is smaller than the sum of its proper divisors (752178732).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

406440660 is a wasteful number, since it uses less digits than its factorization.

406440660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 406440660 is about 20160.3735084447. The cubic root of 406440660 is about 740.7398614428.

The spelling of 406440660 in words is "four hundred six million, four hundred forty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 151 226 302 339 397 452 453 565 604 678 755 794 906 1130 1191 1356 1510 1588 1695 1812 1985 2260 2265 2382 3020 3390 3970 4530 4764 5955 6780 7940 9060 11910 17063 23820 34126 44861 51189 59947 68252 85315 89722 102378 119894 134583 170630 179444 179841 204756 224305 239788 255945 269166 299735 341260 359682 448610 511890 538332 599470 672915 719364 897220 899205 1023780 1198940 1345830 1798410 2691660 3596820 6774011 13548022 20322033 27096044 33870055 40644066 67740110 81288132 101610165 135480220 203220330 406440660