460886440 has 32 divisors (see below), whose sum is σ = 1185137280. Its totient is φ = 158018112.

The previous prime is 460886417. The next prime is 460886471. The reversal of 460886440 is 44688064.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 460886393 and 460886402.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 822732 + ... + 823291.

It is an arithmetic number, because the mean of its divisors is an integer number (37035540).

Almost surely, 2^460886440 is an apocalyptic number.

460886440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460886440 is an abundant number, since it is smaller than the sum of its proper divisors (724250840).

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

460886440 is a wasteful number, since it uses less digits than its factorization.

460886440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646041 (or 1646037 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 460886440 is about 21468.2658824601. The cubic root of 460886440 is about 772.4398014834.

The spelling of 460886440 in words is "four hundred sixty million, eight hundred eighty-six thousand, four hundred forty".