460528377120 has 480 divisors, whose sum is σ = 1865522026368. Its totient is φ = 104807043072.

The previous prime is 460528377119. The next prime is 460528377149. The reversal of 460528377120 is 21773825064.

460528377120 is a `hidden beast` number, since 4 + 6 + 0 + 528 + 37 + 71 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×460528377120² (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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21126867 + ... + 21148653.

Almost surely, 2^460528377120 is an apocalyptic number.

460528377120 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 460528377120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932761013184).

460528377120 is an abundant number, since it is smaller than the sum of its proper divisors (1404993649248).

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

460528377120 is a wasteful number, since it uses less digits than its factorization.

460528377120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22054 (or 22037 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 460528377120 in words is "four hundred sixty billion, five hundred twenty-eight million, three hundred seventy-seven thousand, one hundred twenty".