456656406 has 24 divisors (see below), whose sum is σ = 922939560. Its totient is φ = 150630912.

The previous prime is 456656377. The next prime is 456656407. The reversal of 456656406 is 604656654.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456656407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52410 + ... + 60498.

It is an arithmetic number, because the mean of its divisors is an integer number (38455815).

Almost surely, 2^456656406 is an apocalyptic number.

456656406 is an abundant number, since it is smaller than the sum of its proper divisors (466283154).

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

456656406 is an equidigital number, since it uses as much as digits as its factorization.

456656406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8288 (or 8191 counting only the distinct ones).

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

The square root of 456656406 is about 21369.5204906427. The cubic root of 456656406 is about 770.0693736337.

The spelling of 456656406 in words is "four hundred fifty-six million, six hundred fifty-six thousand, four hundred six".