460593152 has 48 divisors (see below), whose sum is σ = 925797600. Its totient is φ = 229089280.

The previous prime is 460593137. The next prime is 460593157. The reversal of 460593152 is 251395064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460593157) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 489002 + ... + 489942.

It is an arithmetic number, because the mean of its divisors is an integer number (19287450).

Almost surely, 2^460593152 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 460593152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462898800).

460593152 is an abundant number, since it is smaller than the sum of its proper divisors (465204448).

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

460593152 is an equidigital number, since it uses as much as digits as its factorization.

460593152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 460593152 is about 21461.4340620565. The cubic root of 460593152 is about 772.2759177319.

The spelling of 460593152 in words is "four hundred sixty million, five hundred ninety-three thousand, one hundred fifty-two".