456248016 has 90 divisors (see below), whose sum is σ = 1485350802. Its totient is φ = 130354560.

The previous prime is 456247997. The next prime is 456248047. The reversal of 456248016 is 610842654.

456248016 is a `hidden beast` number, since 4 + 562 + 4 + 80 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 254721600 + 201526416 = 15960^2 + 14196^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25275 + ... + 39386.

Almost surely, 2^456248016 is an apocalyptic number.

It is an amenable number.

456248016 is an abundant number, since it is smaller than the sum of its proper divisors (1029102786).

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

456248016 is a wasteful number, since it uses less digits than its factorization.

456248016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64689 (or 64673 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 456248016 is about 21359.9629213161. The cubic root of 456248016 is about 769.8397462644.

It can be divided in two parts, 4562480 and 16, that added together give a square (4562496 = 2136²).

The spelling of 456248016 in words is "four hundred fifty-six million, two hundred forty-eight thousand, sixteen".