456531055260 has 192 divisors, whose sum is σ = 1493971713024. Its totient is φ = 102008678400.

The previous prime is 456531055213. The next prime is 456531055283. The reversal of 456531055260 is 62550135654.

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

It is a congruent number.

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, 4121400 + ... + 4230720.

It is an arithmetic number, because the mean of its divisors is an integer number (7781102672).

Almost surely, 2^456531055260 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 456531055260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746985856512).

456531055260 is an abundant number, since it is smaller than the sum of its proper divisors (1037440657764).

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

456531055260 is a wasteful number, since it uses less digits than its factorization.

456531055260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109564 (or 109562 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

The spelling of 456531055260 in words is "four hundred fifty-six billion, five hundred thirty-one million, fifty-five thousand, two hundred sixty".