456040060 has 72 divisors (see below), whose sum is σ = 1137858624. Its totient is φ = 153014400.

The previous prime is 456040027. The next prime is 456040111. The reversal of 456040060 is 60040654.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41110 + ... + 51010.

It is an arithmetic number, because the mean of its divisors is an integer number (15803592).

Almost surely, 2^456040060 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 456040060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568929312).

456040060 is an abundant number, since it is smaller than the sum of its proper divisors (681818564).

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

456040060 is a wasteful number, since it uses less digits than its factorization.

456040060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9971 (or 9962 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 456040060 is about 21355.0944741530. The cubic root of 456040060 is about 769.7227652087.

The spelling of 456040060 in words is "four hundred fifty-six million, forty thousand, sixty".