456428257908480 has 5184 divisors, whose sum is σ = 2156111494992000. Its totient is φ = 87897176801280.

The previous prime is 456428257908349. The next prime is 456428257908523. The reversal of 456428257908480 is 84809752824654.

It is a happy number.

456428257908480 is a `hidden beast` number, since 4 + 5 + 6 + 4 + 2 + 8 + 2 + 57 + 90 + 8 + 480 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 456428257908399 and 456428257908408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 169739030976 + ... + 169739033664.

It is an arithmetic number, because the mean of its divisors is an integer number (415916569250).

Almost surely, 2^{456428257908480} is an apocalyptic number.

456428257908480 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 456428257908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078055747496000).

456428257908480 is an abundant number, since it is smaller than the sum of its proper divisors (1699683237083520).

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

456428257908480 is a wasteful number, since it uses less digits than its factorization.

456428257908480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 1238630400, while the sum is 72.

The spelling of 456428257908480 in words is "four hundred fifty-six trillion, four hundred twenty-eight billion, two hundred fifty-seven million, nine hundred eight thousand, four hundred eighty".