456482487250944 has 2496 divisors, whose sum is σ = 1760431800314880. Its totient is φ = 114493243392000.

The previous prime is 456482487250927. The next prime is 456482487250961. The reversal of 456482487250944 is 449052784284654.

456482487250944 is a `hidden beast` number, since 4 + 5 + 6 + 4 + 8 + 2 + 4 + 8 + 72 + 509 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (456482487250927) and next prime (456482487250961).

It is a super-2 number, since 2×456482487250944² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 990200622874 + ... + 990200623334.

Almost surely, 2^{456482487250944} is an apocalyptic number.

456482487250944 is a gapful number since it is divisible by the number (44) 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 456482487250944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880215900157440).

456482487250944 is an abundant number, since it is smaller than the sum of its proper divisors (1303949313063936).

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

456482487250944 is an equidigital number, since it uses as much as digits as its factorization.

456482487250944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 2477260800, while the sum is 72.

The spelling of 456482487250944 in words is "four hundred fifty-six trillion, four hundred eighty-two billion, four hundred eighty-seven million, two hundred fifty thousand, nine hundred forty-four".