456294840 has 64 divisors (see below), whose sum is σ = 1370316960. Its totient is φ = 121551360.

The previous prime is 456294827. The next prime is 456294869. The reversal of 456294840 is 48492654.

It is a junction number, because it is equal to n+sod(n) for n = 456294792 and 456294801.

It is a congruent number.

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, 190450 + ... + 192830.

Almost surely, 2^456294840 is an apocalyptic number.

456294840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456294840 is an abundant number, since it is smaller than the sum of its proper divisors (914022120).

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

456294840 is a wasteful number, since it uses less digits than its factorization.

456294840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3992 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 456294840 is about 21361.0589625140. The cubic root of 456294840 is about 769.8660811684.

It can be divided in two parts, 456 and 294840, that added together give a triangular number (295296 = T₇₆₈).

The spelling of 456294840 in words is "four hundred fifty-six million, two hundred ninety-four thousand, eight hundred forty".