456561072 has 90 divisors (see below), whose sum is σ = 1404508196. Its totient is φ = 138346560.

The previous prime is 456561071. The next prime is 456561073. The reversal of 456561072 is 270165654.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (456561071) and next prime (456561073).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (456561071) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4323 + ... + 30525.

Almost surely, 2^456561072 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 456561072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702254098).

456561072 is an abundant number, since it is smaller than the sum of its proper divisors (947947124).

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

456561072 is a wasteful number, since it uses less digits than its factorization.

456561072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26239 (or 26219 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 456561072 is about 21367.2897673055. The cubic root of 456561072 is about 770.0157819895.

The spelling of 456561072 in words is "four hundred fifty-six million, five hundred sixty-one thousand, seventy-two".