431025656460 has 192 divisors, whose sum is σ = 1461434462208. Its totient is φ = 92660207616.

The previous prime is 431025656447. The next prime is 431025656471. The reversal of 431025656460 is 64656520134.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10596882 + ... + 10637478.

It is an arithmetic number, because the mean of its divisors is an integer number (7611637824).

Almost surely, 2^431025656460 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 431025656460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730717231104).

431025656460 is an abundant number, since it is smaller than the sum of its proper divisors (1030408805748).

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

431025656460 is a wasteful number, since it uses less digits than its factorization.

431025656460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42120 (or 42118 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 431025656460 in words is "four hundred thirty-one billion, twenty-five million, six hundred fifty-six thousand, four hundred sixty".