456383947320 has 576 divisors, whose sum is σ = 1785551040000. Its totient is φ = 102817693440.

The previous prime is 456383947303. The next prime is 456383947321. The reversal of 456383947320 is 23749383654.

456383947320 is a `hidden beast` number, since 4 + 563 + 8 + 3 + 9 + 4 + 73 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456383947321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 130430931 + ... + 130434429.

It is an arithmetic number, because the mean of its divisors is an integer number (3099915000).

Almost surely, 2^456383947320 is an apocalyptic number.

456383947320 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 456383947320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892775520000).

456383947320 is an abundant number, since it is smaller than the sum of its proper divisors (1329167092680).

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

456383947320 is an equidigital number, since it uses as much as digits as its factorization.

456383947320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3612 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 456383947320 in words is "four hundred fifty-six billion, three hundred eighty-three million, nine hundred forty-seven thousand, three hundred twenty".