456224252 has 24 divisors (see below), whose sum is σ = 874731312. Its totient is φ = 206480000.

The previous prime is 456224243. The next prime is 456224267. The reversal of 456224252 is 252422654.

It is a super-2 number, since 2×456224252² = 416281136225919008, which contains 22 as substring.

It is a congruent number.

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, 11999 + ... + 32502.

It is an arithmetic number, because the mean of its divisors is an integer number (36447138).

Almost surely, 2^456224252 is an apocalyptic number.

It is an amenable number.

456224252 is a deficient number, since it is larger than the sum of its proper divisors (418507060).

456224252 is a wasteful number, since it uses less digits than its factorization.

456224252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44749 (or 44747 counting only the distinct ones).

The product of its digits is 38400, while the sum is 32.

The square root of 456224252 is about 21359.4066396986. The cubic root of 456224252 is about 769.8263801501.

The spelling of 456224252 in words is "four hundred fifty-six million, two hundred twenty-four thousand, two hundred fifty-two".