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406441460 = 22520322073
BaseRepresentation
bin11000001110011…
…100110111110100
31001022210100212102
4120032130313310
51313022111320
6104155241232
713033460345
oct3016346764
91038710772
10406441460
11199475537
12b4149218
1366288509
143bda00cc
1525a37175
hex1839cdf4

406441460 has 12 divisors (see below), whose sum is σ = 853527108. Its totient is φ = 162576576.

The previous prime is 406441459. The next prime is 406441463. The reversal of 406441460 is 64144604.

It can be written as a sum of positive squares in 2 ways, for example, as 324936676 + 81504784 = 18026^2 + 9028^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406441463) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10161017 + ... + 10161056.

It is an arithmetic number, because the mean of its divisors is an integer number (71127259).

Almost surely, 2406441460 is an apocalyptic number.

It is an amenable number.

406441460 is an abundant number, since it is smaller than the sum of its proper divisors (447085648).

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

406441460 is a wasteful number, since it uses less digits than its factorization.

406441460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20322082 (or 20322080 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 406441460 is about 20160.3933493372. The cubic root of 406441460 is about 740.7403474436.

The spelling of 406441460 in words is "four hundred six million, four hundred forty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 20322073 40644146 81288292 101610365 203220730 406441460