456609072 has 20 divisors (see below), whose sum is σ = 1179573560. Its totient is φ = 152203008.

The previous prime is 456609053. The next prime is 456609077. The reversal of 456609072 is 270906654.

It is a self number, because there is not a number n which added to its sum of digits gives 456609072.

It is not an unprimeable number, because it can be changed into a prime (456609077) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4756297 + ... + 4756392.

It is an arithmetic number, because the mean of its divisors is an integer number (58978678).

Almost surely, 2^456609072 is an apocalyptic number.

It is an amenable number.

456609072 is an abundant number, since it is smaller than the sum of its proper divisors (722964488).

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

456609072 is a wasteful number, since it uses less digits than its factorization.

456609072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9512700 (or 9512694 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 456609072 is about 21368.4129499596. The cubic root of 456609072 is about 770.0427659387.

The spelling of 456609072 in words is "four hundred fifty-six million, six hundred nine thousand, seventy-two".