460875888 has 240 divisors, whose sum is σ = 1485619200. Its totient is φ = 132088320.

The previous prime is 460875881. The next prime is 460875929. The reversal of 460875888 is 888578064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460875881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3628881 + ... + 3629007.

It is an arithmetic number, because the mean of its divisors is an integer number (6190080).

Almost surely, 2^460875888 is an apocalyptic number.

460875888 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 460875888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742809600).

460875888 is an abundant number, since it is smaller than the sum of its proper divisors (1024743312).

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

460875888 is a wasteful number, since it uses less digits than its factorization.

460875888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The square root of 460875888 is about 21468.0201229643. The cubic root of 460875888 is about 772.4339064325.

The spelling of 460875888 in words is "four hundred sixty million, eight hundred seventy-five thousand, eight hundred eighty-eight".