456745720 has 32 divisors (see below), whose sum is σ = 1030090320. Its totient is φ = 182269440.

The previous prime is 456745711. The next prime is 456745739. The reversal of 456745720 is 27547654.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4135 + ... + 30505.

Almost surely, 2^456745720 is an apocalyptic number.

456745720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456745720 is an abundant number, since it is smaller than the sum of its proper divisors (573344600).

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

456745720 is a wasteful number, since it uses less digits than its factorization.

456745720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26815 (or 26811 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 40.

The square root of 456745720 is about 21371.6101405580. The cubic root of 456745720 is about 770.1195743913.

The spelling of 456745720 in words is "four hundred fifty-six million, seven hundred forty-five thousand, seven hundred twenty".