460733130 has 128 divisors (see below), whose sum is σ = 1443536640. Its totient is φ = 103092480.

The previous prime is 460733123. The next prime is 460733197. The reversal of 460733130 is 31337064.

It is a happy number.

460733130 is a `hidden beast` number, since 460 + 73 + 3 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 460733094 and 460733103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32644 + ... + 44576.

It is an arithmetic number, because the mean of its divisors is an integer number (11277630).

Almost surely, 2^460733130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460733130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721768320).

460733130 is an abundant number, since it is smaller than the sum of its proper divisors (982803510).

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

460733130 is a wasteful number, since it uses less digits than its factorization.

460733130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11973 (or 11967 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 460733130 is about 21464.6949663861. The cubic root of 460733130 is about 772.3541434493.

The spelling of 460733130 in words is "four hundred sixty million, seven hundred thirty-three thousand, one hundred thirty".