456144432 has 20 divisors (see below), whose sum is σ = 1178373240. Its totient is φ = 152048128.

The previous prime is 456144427. The next prime is 456144463. The reversal of 456144432 is 234441654.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 456144393 and 456144402.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4751457 + ... + 4751552.

It is an arithmetic number, because the mean of its divisors is an integer number (58918662).

Almost surely, 2^456144432 is an apocalyptic number.

It is an amenable number.

456144432 is an abundant number, since it is smaller than the sum of its proper divisors (722228808).

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

456144432 is a wasteful number, since it uses less digits than its factorization.

456144432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9503020 (or 9503014 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 456144432 is about 21357.5380603664. The cubic root of 456144432 is about 769.7814818168.

The spelling of 456144432 in words is "four hundred fifty-six million, one hundred forty-four thousand, four hundred thirty-two".