460032120 has 48 divisors (see below), whose sum is σ = 1495105560. Its totient is φ = 122675136.

The previous prime is 460032113. The next prime is 460032149. The reversal of 460032120 is 21230064.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 460032093 and 460032102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 638574 + ... + 639293.

Almost surely, 2^460032120 is an apocalyptic number.

460032120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460032120 is an abundant number, since it is smaller than the sum of its proper divisors (1035073440).

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

460032120 is a wasteful number, since it uses less digits than its factorization.

460032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277884 (or 1277877 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 460032120 is about 21448.3593778172. The cubic root of 460032120 is about 771.9622298004.

Adding to 460032120 its reverse (21230064), we get a palindrome (481262184).

The spelling of 460032120 in words is "four hundred sixty million, thirty-two thousand, one hundred twenty".