456267680 has 96 divisors (see below), whose sum is σ = 1204797888. Its totient is φ = 161843200.

The previous prime is 456267661. The next prime is 456267719. The reversal of 456267680 is 86762654.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 68999 + ... + 75321.

It is an arithmetic number, because the mean of its divisors is an integer number (12549978).

Almost surely, 2^456267680 is an apocalyptic number.

456267680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456267680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602398944).

456267680 is an abundant number, since it is smaller than the sum of its proper divisors (748530208).

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

456267680 is a wasteful number, since it uses less digits than its factorization.

456267680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6390 (or 6382 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The square root of 456267680 is about 21360.4232167811. The cubic root of 456267680 is about 769.8508059737.

The spelling of 456267680 in words is "four hundred fifty-six million, two hundred sixty-seven thousand, six hundred eighty".