456420512 has 12 divisors (see below), whose sum is σ = 898577946. Its totient is φ = 228210240.

The previous prime is 456420511. The next prime is 456420553. The reversal of 456420512 is 215024654.

It can be written as a sum of positive squares in only one way, i.e., 456420496 + 16 = 21364^2 + 4^2 .

It is not an unprimeable number, because it can be changed into a prime (456420511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7131539 + ... + 7131602.

Almost surely, 2^456420512 is an apocalyptic number.

It is an amenable number.

456420512 is a deficient number, since it is larger than the sum of its proper divisors (442157434).

456420512 is a wasteful number, since it uses less digits than its factorization.

456420512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14263151 (or 14263143 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 456420512 is about 21364.0003744617. Note that the first 3 decimals coincide. The cubic root of 456420512 is about 769.9367531117.

The spelling of 456420512 in words is "four hundred fifty-six million, four hundred twenty thousand, five hundred twelve".