460536528 has 60 divisors (see below), whose sum is σ = 1263857600. Its totient is φ = 144477696.

The previous prime is 460536523. The next prime is 460536551. The reversal of 460536528 is 825635064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460536523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2728 + ... + 30471.

Almost surely, 2^460536528 is an apocalyptic number.

460536528 is a gapful number since it is divisible by the number (48) 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 460536528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631928800).

460536528 is an abundant number, since it is smaller than the sum of its proper divisors (803321072).

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

460536528 is a wasteful number, since it uses less digits than its factorization.

460536528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33244 (or 33221 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 460536528 is about 21460.1148179594. The cubic root of 460536528 is about 772.2442693067.

The spelling of 460536528 in words is "four hundred sixty million, five hundred thirty-six thousand, five hundred twenty-eight".