456661872 has 120 divisors (see below), whose sum is σ = 1342976544. Its totient is φ = 144579072.

The previous prime is 456661859. The next prime is 456661873. The reversal of 456661872 is 278166654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456661873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572578 + ... + 573374.

Almost surely, 2^456661872 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 456661872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671488272).

456661872 is an abundant number, since it is smaller than the sum of its proper divisors (886314672).

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

456661872 is a wasteful number, since it uses less digits than its factorization.

456661872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 998 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 456661872 is about 21369.6483826946. The cubic root of 456661872 is about 770.0724460987.

The spelling of 456661872 in words is "four hundred fifty-six million, six hundred sixty-one thousand, eight hundred seventy-two".