456551104 has 56 divisors (see below), whose sum is σ = 949695840. Its totient is φ = 217350144.

The previous prime is 456551093. The next prime is 456551119. The reversal of 456551104 is 401155654.

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, 395392 + ... + 396544.

Almost surely, 2^456551104 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 456551104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474847920).

456551104 is an abundant number, since it is smaller than the sum of its proper divisors (493144736).

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

456551104 is a wasteful number, since it uses less digits than its factorization.

456551104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The square root of 456551104 is about 21367.0565123042. The cubic root of 456551104 is about 770.0101780855.

The spelling of 456551104 in words is "four hundred fifty-six million, five hundred fifty-one thousand, one hundred four".