460528640 has 352 divisors, whose sum is σ = 1411349184. Its totient is φ = 141557760.

The previous prime is 460528639. The next prime is 460528681. The reversal of 460528640 is 46825064.

It is a tau number, because it is divible by the number of its divisors (352).

It is a self number, because there is not a number n which added to its sum of digits gives 460528640.

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, 12446702 + ... + 12446738.

Almost surely, 2^460528640 is an apocalyptic number.

460528640 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 460528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705674592).

460528640 is an abundant number, since it is smaller than the sum of its proper divisors (950820544).

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

460528640 is a wasteful number, since it uses less digits than its factorization.

460528640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 460528640 is about 21459.9310343719. The cubic root of 460528640 is about 772.2398603205.

The spelling of 460528640 in words is "four hundred sixty million, five hundred twenty-eight thousand, six hundred forty".