456820715520 has 1248 divisors, whose sum is σ = 1851311734272. Its totient is φ = 107208769536.

The previous prime is 456820715501. The next prime is 456820715521. The reversal of 456820715520 is 25517028654.

456820715520 is a `hidden beast` number, since 4 + 5 + 6 + 8 + 20 + 71 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×456820715520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456820715521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1488015207 + ... + 1488015513.

It is an arithmetic number, because the mean of its divisors is an integer number (1483422864).

Almost surely, 2^456820715520 is an apocalyptic number.

456820715520 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 456820715520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925655867136).

456820715520 is an abundant number, since it is smaller than the sum of its proper divisors (1394491018752).

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

456820715520 is a wasteful number, since it uses less digits than its factorization.

456820715520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 456820715520 in words is "four hundred fifty-six billion, eight hundred twenty million, seven hundred fifteen thousand, five hundred twenty".