460915140 has 96 divisors (see below), whose sum is σ = 1478018304. Its totient is φ = 105131520.

The previous prime is 460915123. The next prime is 460915141. The reversal of 460915140 is 41519064.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 460915098 and 460915107.

It is not an unprimeable number, because it can be changed into a prime (460915141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283530 + ... + 285150.

It is an arithmetic number, because the mean of its divisors is an integer number (15396024).

Almost surely, 2^460915140 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 460915140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739009152).

460915140 is an abundant number, since it is smaller than the sum of its proper divisors (1017103164).

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

460915140 is a wasteful number, since it uses less digits than its factorization.

460915140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 460915140 is about 21468.9343005190. The cubic root of 460915140 is about 772.4558347620.

The spelling of 460915140 in words is "four hundred sixty million, nine hundred fifteen thousand, one hundred forty".