456421680 has 540 divisors, whose sum is σ = 1883254464. Its totient is φ = 98841600.

The previous prime is 456421613. The next prime is 456421709. The reversal of 456421680 is 86124654.

456421680 is a `hidden beast` number, since 4 + 5 + 642 + 1 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 107 ways as a sum of consecutive naturals, for example, 14723265 + ... + 14723295.

Almost surely, 2^456421680 is an apocalyptic number.

456421680 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 456421680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941627232).

456421680 is an abundant number, since it is smaller than the sum of its proper divisors (1426832784).

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

456421680 is a wasteful number, since it uses less digits than its factorization.

456421680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 456421680 is about 21364.0277101487. The cubic root of 456421680 is about 769.9374098784.

It can be divided in two parts, 4564 and 21680, that added together give a square (26244 = 162²).

The spelling of 456421680 in words is "four hundred fifty-six million, four hundred twenty-one thousand, six hundred eighty".