456679248 has 20 divisors (see below), whose sum is σ = 1179754848. Its totient is φ = 152226400.

The previous prime is 456679243. The next prime is 456679253. The reversal of 456679248 is 842976654.

It is an interprime number because it is at equal distance from previous prime (456679243) and next prime (456679253).

It is a self number, because there is not a number n which added to its sum of digits gives 456679248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456679243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4757028 + ... + 4757123.

Almost surely, 2^456679248 is an apocalyptic number.

456679248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

456679248 is an abundant number, since it is smaller than the sum of its proper divisors (723075600).

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

456679248 is a wasteful number, since it uses less digits than its factorization.

456679248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9514162 (or 9514156 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The square root of 456679248 is about 21370.0549367567. The cubic root of 456679248 is about 770.0822130692.

The spelling of 456679248 in words is "four hundred fifty-six million, six hundred seventy-nine thousand, two hundred forty-eight".