456401676372 has 24 divisors (see below), whose sum is σ = 1069180029792. Its totient is φ = 151527780000.

The previous prime is 456401676329. The next prime is 456401676377. The reversal of 456401676372 is 273676104654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456401676377) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 75760879 + ... + 75766902.

It is an arithmetic number, because the mean of its divisors is an integer number (44549167908).

Almost surely, 2^456401676372 is an apocalyptic number.

It is an amenable number.

456401676372 is an abundant number, since it is smaller than the sum of its proper divisors (612778353420).

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

456401676372 is a wasteful number, since it uses less digits than its factorization.

456401676372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151528039 (or 151528037 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 456401676372 in words is "four hundred fifty-six billion, four hundred one million, six hundred seventy-six thousand, three hundred seventy-two".