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400465340 = 225112118627
BaseRepresentation
bin10111110111101…
…001110110111100
31000220112202011122
4113313221312330
51310004342330
6103423210112
712631620302
oct2767516674
91026482148
10400465340
111960635a0
12b2146938
1364c75352
143b286272
15252565e5
hex17de9dbc

400465340 has 48 divisors (see below), whose sum is σ = 921884544. Its totient is φ = 144916800.

The previous prime is 400465313. The next prime is 400465349. The reversal of 400465340 is 43564004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400465349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42107 + ... + 50733.

It is an arithmetic number, because the mean of its divisors is an integer number (19205928).

Almost surely, 2400465340 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 400465340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460942272).

400465340 is an abundant number, since it is smaller than the sum of its proper divisors (521419204).

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

400465340 is a wasteful number, since it uses less digits than its factorization.

400465340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8858 (or 8856 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 400465340 is about 20011.6301185086. The cubic root of 400465340 is about 737.0919102046.

The spelling of 400465340 in words is "four hundred million, four hundred sixty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 211 220 422 844 1055 2110 2321 4220 4642 8627 9284 11605 17254 23210 34508 43135 46420 86270 94897 172540 189794 379588 474485 948970 1820297 1897940 3640594 7281188 9101485 18202970 20023267 36405940 40046534 80093068 100116335 200232670 400465340