460646040 has 64 divisors (see below), whose sum is σ = 1405382400. Its totient is φ = 120755072.

The previous prime is 460646033. The next prime is 460646101. The reversal of 460646040 is 40646064.

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

It is a junction number, because it is equal to n+sod(n) for n = 460645989 and 460646007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25452 + ... + 39611.

It is an arithmetic number, because the mean of its divisors is an integer number (21959100).

Almost surely, 2^460646040 is an apocalyptic number.

460646040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460646040 is an abundant number, since it is smaller than the sum of its proper divisors (944736360).

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

460646040 is a wasteful number, since it uses less digits than its factorization.

460646040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65136 (or 65132 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 460646040 is about 21462.6661903874. Note that the first 3 decimals coincide. The cubic root of 460646040 is about 772.3054756800.

The spelling of 460646040 in words is "four hundred sixty million, six hundred forty-six thousand, forty".