456906772 has 36 divisors (see below), whose sum is σ = 932349684. Its totient is φ = 195350400.

The previous prime is 456906743. The next prime is 456906811. The reversal of 456906772 is 277609654.

It can be written as a sum of positive squares in 2 ways, for example, as 148693636 + 308213136 = 12194^2 + 17556^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87022 + ... + 92122.

Almost surely, 2^456906772 is an apocalyptic number.

It is an amenable number.

456906772 is an abundant number, since it is smaller than the sum of its proper divisors (475442912).

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

456906772 is a wasteful number, since it uses less digits than its factorization.

456906772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5576 (or 5567 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 46.

The square root of 456906772 is about 21375.3777042653. The cubic root of 456906772 is about 770.2100804192.

The spelling of 456906772 in words is "four hundred fifty-six million, nine hundred six thousand, seven hundred seventy-two".