456575731920 has 1080 divisors, whose sum is σ = 2054257938720. Its totient is φ = 89851991040.

The previous prime is 456575731907. The next prime is 456575731967. The reversal of 456575731920 is 29137575654.

It is a happy number.

456575731920 is a `hidden beast` number, since 4 + 5 + 6 + 57 + 573 + 19 + 2 + 0 = 666.

It is a super-2 number, since 2×456575731920² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 140095251 + ... + 140098509.

It is an arithmetic number, because the mean of its divisors is an integer number (1902090684).

Almost surely, 2^456575731920 is an apocalyptic number.

456575731920 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 456575731920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027128969360).

456575731920 is an abundant number, since it is smaller than the sum of its proper divisors (1597682206800).

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

456575731920 is a wasteful number, since it uses less digits than its factorization.

456575731920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 456575731920 in words is "four hundred fifty-six billion, five hundred seventy-five million, seven hundred thirty-one thousand, nine hundred twenty".