460474560 has 504 divisors, whose sum is σ = 1992056976. Its totient is φ = 96768000.

The previous prime is 460474537. The next prime is 460474561. The reversal of 460474560 is 65474064.

460474560 is a `hidden beast` number, since 4 + 604 + 7 + 45 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is not an unprimeable number, because it can be changed into a prime (460474561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1834435 + ... + 1834685.

It is an arithmetic number, because the mean of its divisors is an integer number (3952494).

Almost surely, 2^460474560 is an apocalyptic number.

460474560 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 460474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996028488).

460474560 is an abundant number, since it is smaller than the sum of its proper divisors (1531582416).

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

460474560 is a wasteful number, since it uses less digits than its factorization.

460474560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 460474560 is about 21458.6709746899. The cubic root of 460474560 is about 772.2096310269.

The spelling of 460474560 in words is "four hundred sixty million, four hundred seventy-four thousand, five hundred sixty".