460965120 has 288 divisors, whose sum is σ = 1836656640. Its totient is φ = 95723520.

The previous prime is 460965119. The next prime is 460965181. The reversal of 460965120 is 21569064.

It is a super-2 number, since 2×460965120² = 424977683713228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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, 294901 + ... + 296459.

It is an arithmetic number, because the mean of its divisors is an integer number (6377280).

Almost surely, 2^460965120 is an apocalyptic number.

460965120 is a gapful number since it is divisible by the number (40) 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 460965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918328320).

460965120 is an abundant number, since it is smaller than the sum of its proper divisors (1375691520).

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

460965120 is a wasteful number, since it uses less digits than its factorization.

460965120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 460965120 is about 21470.0982764402. The cubic root of 460965120 is about 772.4837545415.

The spelling of 460965120 in words is "four hundred sixty million, nine hundred sixty-five thousand, one hundred twenty".