460764120 has 32 divisors (see below), whose sum is σ = 1382292720. Its totient is φ = 122870400.

The previous prime is 460764113. The next prime is 460764127. The reversal of 460764120 is 21467064.

It is an interprime number because it is at equal distance from previous prime (460764113) and next prime (460764127).

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 (460764127) 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, 1919731 + ... + 1919970.

Almost surely, 2^460764120 is an apocalyptic number.

460764120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460764120 is an abundant number, since it is smaller than the sum of its proper divisors (921528600).

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

460764120 is a wasteful number, since it uses less digits than its factorization.

460764120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3839715 (or 3839711 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 460764120 is about 21465.4168373223. The cubic root of 460764120 is about 772.3714598499.

The spelling of 460764120 in words is "four hundred sixty million, seven hundred sixty-four thousand, one hundred twenty".