460062160 has 80 divisors (see below), whose sum is σ = 1159050816. Its totient is φ = 169150464.

The previous prime is 460062151. The next prime is 460062191. The reversal of 460062160 is 61260064.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54547 + ... + 62413.

Almost surely, 2^460062160 is an apocalyptic number.

460062160 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 460062160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579525408).

460062160 is an abundant number, since it is smaller than the sum of its proper divisors (698988656).

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

460062160 is a wasteful number, since it uses less digits than its factorization.

460062160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7940 (or 7934 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 460062160 is about 21449.0596530477. The cubic root of 460062160 is about 771.9790324247.

The spelling of 460062160 in words is "four hundred sixty million, sixty-two thousand, one hundred sixty".