456947216 has 40 divisors (see below), whose sum is σ = 1022639904. Its totient is φ = 195484160.

The previous prime is 456947209. The next prime is 456947221. The reversal of 456947216 is 612749654.

It is a Harshad number since it is a multiple of its sum of digits (44).

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

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, 73370 + ... + 79353.

Almost surely, 2^456947216 is an apocalyptic number.

It is an amenable number.

456947216 is an abundant number, since it is smaller than the sum of its proper divisors (565692688).

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

456947216 is a wasteful number, since it uses less digits than its factorization.

456947216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152759 (or 152753 counting only the distinct ones).

The product of its digits is 362880, while the sum is 44.

The square root of 456947216 is about 21376.3237250936. The cubic root of 456947216 is about 770.2328053012.

The spelling of 456947216 in words is "four hundred fifty-six million, nine hundred forty-seven thousand, two hundred sixteen".