431257725405 has 48 divisors (see below), whose sum is σ = 807554245680. Its totient is φ = 211641652224.

The previous prime is 431257725383. The next prime is 431257725413. The reversal of 431257725405 is 504527752134.

431257725405 is a `hidden beast` number, since 4 + 3 + 12 + 577 + 25 + 40 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 21950792964 + 409306932441 = 148158^2 + 639771^2 .

It is not a de Polignac number, because 431257725405 - 2⁵ = 431257725373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 977320 + ... + 1348209.

It is an arithmetic number, because the mean of its divisors is an integer number (16824046785).

Almost surely, 2^431257725405 is an apocalyptic number.

431257725405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

431257725405 is a deficient number, since it is larger than the sum of its proper divisors (376296520275).

431257725405 is a wasteful number, since it uses less digits than its factorization.

431257725405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325870 (or 2325867 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 431257725405 in words is "four hundred thirty-one billion, two hundred fifty-seven million, seven hundred twenty-five thousand, four hundred five".