456893999880 has 64 divisors (see below), whose sum is σ = 1451310359040. Its totient is φ = 114671434752.

The previous prime is 456893999857. The next prime is 456893999923. The reversal of 456893999880 is 88999398654.

It is a super-3 number, since 3×456893999880³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 456893999796 and 456893999805.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 111981784 + ... + 111985863.

It is an arithmetic number, because the mean of its divisors is an integer number (22676724360).

Almost surely, 2^456893999880 is an apocalyptic number.

456893999880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456893999880 is an abundant number, since it is smaller than the sum of its proper divisors (994416359160).

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

456893999880 is a wasteful number, since it uses less digits than its factorization.

456893999880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223967678 (or 223967674 counting only the distinct ones).

The product of its (nonzero) digits is 1209323520, while the sum is 78.

The spelling of 456893999880 in words is "four hundred fifty-six billion, eight hundred ninety-three million, nine hundred ninety-nine thousand, eight hundred eighty".