456853416 has 32 divisors (see below), whose sum is σ = 1191792960. Its totient is φ = 145663232.

The previous prime is 456853391. The next prime is 456853421. The reversal of 456853416 is 614358654.

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, 413265 + ... + 414368.

It is an arithmetic number, because the mean of its divisors is an integer number (37243530).

Almost surely, 2^456853416 is an apocalyptic number.

456853416 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

456853416 is an abundant number, since it is smaller than the sum of its proper divisors (734939544).

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

456853416 is a wasteful number, since it uses less digits than its factorization.

456853416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827665 (or 827661 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 456853416 is about 21374.1295963134. The cubic root of 456853416 is about 770.1800984249.

The spelling of 456853416 in words is "four hundred fifty-six million, eight hundred fifty-three thousand, four hundred sixteen".