460410480 has 200 divisors, whose sum is σ = 1611249552. Its totient is φ = 121844736.

The previous prime is 460410427. The next prime is 460410521. The reversal of 460410480 is 84014064.

460410480 is a `hidden beast` number, since 4 + 604 + 10 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1470804 + ... + 1471116.

Almost surely, 2^460410480 is an apocalyptic number.

460410480 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 460410480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805624776).

460410480 is an abundant number, since it is smaller than the sum of its proper divisors (1150839072).

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

460410480 is a wasteful number, since it uses less digits than its factorization.

460410480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 460410480 is about 21457.1778200210. The cubic root of 460410480 is about 772.1738089330.

The spelling of 460410480 in words is "four hundred sixty million, four hundred ten thousand, four hundred eighty".