460375104 has 112 divisors (see below), whose sum is σ = 1409200128. Its totient is φ = 129919488.

The previous prime is 460375103. The next prime is 460375109. The reversal of 460375104 is 401573064.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (460375103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109489 + ... + 113615.

It is an arithmetic number, because the mean of its divisors is an integer number (12582144).

Almost surely, 2^460375104 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 460375104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704600064).

460375104 is an abundant number, since it is smaller than the sum of its proper divisors (948825024).

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

460375104 is a wasteful number, since it uses less digits than its factorization.

460375104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4232 (or 4222 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 460375104 is about 21456.3534646500. The cubic root of 460375104 is about 772.1540315666.

The spelling of 460375104 in words is "four hundred sixty million, three hundred seventy-five thousand, one hundred four".