456656704 has 56 divisors (see below), whose sum is σ = 1048195008. Its totient is φ = 193336320.

The previous prime is 456656663. The next prime is 456656713. The reversal of 456656704 is 407656654.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31044 + ... + 43324.

It is an arithmetic number, because the mean of its divisors is an integer number (18717768).

Almost surely, 2^456656704 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 456656704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524097504).

456656704 is an abundant number, since it is smaller than the sum of its proper divisors (591538304).

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

456656704 is a wasteful number, since it uses less digits than its factorization.

456656704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12383 (or 12373 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 43.

The square root of 456656704 is about 21369.5274631893. The cubic root of 456656704 is about 770.0695411416.

Subtracting from 456656704 its reverse (407656654), we obtain a triangular number (49000050 = T₉₈₉₉).

The spelling of 456656704 in words is "four hundred fifty-six million, six hundred fifty-six thousand, seven hundred four".