460532760 has 128 divisors (see below), whose sum is σ = 1454112000. Its totient is φ = 116512256.

The previous prime is 460532759. The next prime is 460532777. The reversal of 460532760 is 67235064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204199 + ... + 206441.

It is an arithmetic number, because the mean of its divisors is an integer number (11360250).

Almost surely, 2^460532760 is an apocalyptic number.

460532760 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 460532760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727056000).

460532760 is an abundant number, since it is smaller than the sum of its proper divisors (993579240).

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

460532760 is a wasteful number, since it uses less digits than its factorization.

460532760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 460532760 is about 21460.0270270100. The cubic root of 460532760 is about 772.2421631949.

The spelling of 460532760 in words is "four hundred sixty million, five hundred thirty-two thousand, seven hundred sixty".