456666456 has 64 divisors (see below), whose sum is σ = 1184486400. Its totient is φ = 146563200.

The previous prime is 456666437. The next prime is 456666503. The reversal of 456666456 is 654666654.

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 15 ways as a sum of consecutive naturals, for example, 155530 + ... + 158438.

It is an arithmetic number, because the mean of its divisors is an integer number (18507600).

Almost surely, 2^456666456 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 456666456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592243200).

456666456 is an abundant number, since it is smaller than the sum of its proper divisors (727819944).

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

456666456 is a wasteful number, since it uses less digits than its factorization.

456666456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3160 (or 3156 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 48.

The square root of 456666456 is about 21369.7556373488. The cubic root of 456666456 is about 770.0750227683.

The spelling of 456666456 in words is "four hundred fifty-six million, six hundred sixty-six thousand, four hundred fifty-six".