460062720 has 304 divisors, whose sum is σ = 1761604320. Its totient is φ = 113246208.

The previous prime is 460062697. The next prime is 460062739. The reversal of 460062720 is 27260064.

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

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35389434 + ... + 35389446.

Almost surely, 2^460062720 is an apocalyptic number.

460062720 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 460062720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880802160).

460062720 is an abundant number, since it is smaller than the sum of its proper divisors (1301541600).

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

460062720 is an frugal number, since it uses more digits than its factorization.

460062720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 460062720 is about 21449.0727072291. The cubic root of 460062720 is about 771.9793456491.

The spelling of 460062720 in words is "four hundred sixty million, sixty-two thousand, seven hundred twenty".