460528560 has 240 divisors, whose sum is σ = 1634181120. Its totient is φ = 116052480.

The previous prime is 460528559. The next prime is 460528577. The reversal of 460528560 is 65825064.

460528560 is a `hidden beast` number, since 46 + 0 + 52 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048821 + ... + 1049259.

It is an arithmetic number, because the mean of its divisors is an integer number (6809088).

Almost surely, 2^460528560 is an apocalyptic number.

460528560 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 460528560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817090560).

460528560 is an abundant number, since it is smaller than the sum of its proper divisors (1173652560).

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

460528560 is a wasteful number, since it uses less digits than its factorization.

460528560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 460528560 is about 21459.9291704330. The cubic root of 460528560 is about 772.2398156044.

The spelling of 460528560 in words is "four hundred sixty million, five hundred twenty-eight thousand, five hundred sixty".