456411589920 has 768 divisors, whose sum is σ = 1882451612160. Its totient is φ = 101822054400.

The previous prime is 456411589849. The next prime is 456411589927. The reversal of 456411589920 is 29985114654.

456411589920 is a `hidden beast` number, since 4 + 56 + 4 + 1 + 1 + 589 + 9 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (456411589927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 245249790 + ... + 245251650.

It is an arithmetic number, because the mean of its divisors is an integer number (2451108870).

Almost surely, 2^456411589920 is an apocalyptic number.

456411589920 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 456411589920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941225806080).

456411589920 is an abundant number, since it is smaller than the sum of its proper divisors (1426040022240).

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

456411589920 is a wasteful number, since it uses less digits than its factorization.

456411589920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 456411589920 in words is "four hundred fifty-six billion, four hundred eleven million, five hundred eighty-nine thousand, nine hundred twenty".