456020750880 has 192 divisors, whose sum is σ = 1597255873920. Its totient is φ = 121515383808.

The previous prime is 456020750819. The next prime is 456020750909. The reversal of 456020750880 is 88057020654.

456020750880 is a `hidden beast` number, since 4 + 5 + 60 + 2 + 0 + 7 + 508 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5892919 + ... + 5969801.

It is an arithmetic number, because the mean of its divisors is an integer number (8319041010).

Almost surely, 2^456020750880 is an apocalyptic number.

456020750880 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 456020750880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798627936960).

456020750880 is an abundant number, since it is smaller than the sum of its proper divisors (1141235123040).

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

456020750880 is a wasteful number, since it uses less digits than its factorization.

456020750880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78280 (or 78266 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 456020750880 in words is "four hundred fifty-six billion, twenty million, seven hundred fifty thousand, eight hundred eighty".