460776640 has 28 divisors (see below), whose sum is σ = 1097225136. Its totient is φ = 184310528.

The previous prime is 460776637. The next prime is 460776661. The reversal of 460776640 is 46677064.

It is a super-2 number, since 2×460776640² = 424630223939379200, which contains 22 as substring.

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 = 460776593 and 460776602.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 719644 + ... + 720283.

It is an arithmetic number, because the mean of its divisors is an integer number (39186612).

Almost surely, 2^460776640 is an apocalyptic number.

460776640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460776640 is an abundant number, since it is smaller than the sum of its proper divisors (636448496).

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

460776640 is a wasteful number, since it uses less digits than its factorization.

460776640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439944 (or 1439934 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The square root of 460776640 is about 21465.7084672274. The cubic root of 460776640 is about 772.3784554778.

The spelling of 460776640 in words is "four hundred sixty million, seven hundred seventy-six thousand, six hundred forty".