460368120 has 32 divisors (see below), whose sum is σ = 1381104720. Its totient is φ = 122764800.

The previous prime is 460368107. The next prime is 460368121. The reversal of 460368120 is 21863064.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460368121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1918081 + ... + 1918320.

Almost surely, 2^460368120 is an apocalyptic number.

460368120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460368120 is an abundant number, since it is smaller than the sum of its proper divisors (920736600).

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

460368120 is a wasteful number, since it uses less digits than its factorization.

460368120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836415 (or 3836411 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 460368120 is about 21456.1907150361. The cubic root of 460368120 is about 772.1501269600.

The spelling of 460368120 in words is "four hundred sixty million, three hundred sixty-eight thousand, one hundred twenty".