456768204 has 48 divisors (see below), whose sum is σ = 1099768320. Its totient is φ = 147476160.

The previous prime is 456768199. The next prime is 456768239. The reversal of 456768204 is 402867654.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45699 + ... + 54789.

It is an arithmetic number, because the mean of its divisors is an integer number (22911840).

Almost surely, 2^456768204 is an apocalyptic number.

It is an amenable number.

456768204 is an abundant number, since it is smaller than the sum of its proper divisors (643000116).

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

456768204 is a wasteful number, since it uses less digits than its factorization.

456768204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9230 (or 9228 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 456768204 is about 21372.1361590272. The cubic root of 456768204 is about 770.1322109515.

It can be divided in two parts, 4567 and 68204, that added together give a triangular number (72771 = T₃₈₁).

The spelling of 456768204 in words is "four hundred fifty-six million, seven hundred sixty-eight thousand, two hundred four".