460535152 has 80 divisors (see below), whose sum is σ = 1142641152. Its totient is φ = 174562560.

The previous prime is 460535111. The next prime is 460535191. The reversal of 460535152 is 251535064.

It is a congruent number.

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, 40533 + ... + 50635.

Almost surely, 2^460535152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460535152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571320576).

460535152 is an abundant number, since it is smaller than the sum of its proper divisors (682106000).

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

460535152 is a wasteful number, since it uses less digits than its factorization.

460535152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10166 (or 10160 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 460535152 is about 21460.0827584611. The cubic root of 460535152 is about 772.2435001971.

The spelling of 460535152 in words is "four hundred sixty million, five hundred thirty-five thousand, one hundred fifty-two".