456300224880 has 40 divisors (see below), whose sum is σ = 1414530697872. Its totient is φ = 121680059904.

The previous prime is 456300224879. The next prime is 456300224969. The reversal of 456300224880 is 88422003654.

456300224880 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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, 950625229 + ... + 950625708.

Almost surely, 2^456300224880 is an apocalyptic number.

456300224880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456300224880 is an abundant number, since it is smaller than the sum of its proper divisors (958230472992).

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

456300224880 is a wasteful number, since it uses less digits than its factorization.

456300224880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901250953 (or 1901250947 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 456300224880 in words is "four hundred fifty-six billion, three hundred million, two hundred twenty-four thousand, eight hundred eighty".