456416722152400 has 120 divisors (see below), whose sum is σ = 1131836613276800. Its totient is φ = 176739827489280.

The previous prime is 456416722152389. The next prime is 456416722152439. The reversal of 456416722152400 is 4251227614654.

It is a super-2 number, since 2×456416722152400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74539644 + ... + 80430043.

Almost surely, 2^{456416722152400} is an apocalyptic number.

456416722152400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456416722152400 is an abundant number, since it is smaller than the sum of its proper divisors (675419891124400).

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

456416722152400 is a wasteful number, since it uses less digits than its factorization.

456416722152400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154969941 (or 154969930 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 49.

The spelling of 456416722152400 in words is "four hundred fifty-six trillion, four hundred sixteen billion, seven hundred twenty-two million, one hundred fifty-two thousand, four hundred".