460868940 has 576 divisors, whose sum is σ = 1878589440. Its totient is φ = 92378880.

The previous prime is 460868939. The next prime is 460868951. The reversal of 460868940 is 49868064.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14866725 + ... + 14866755.

It is an arithmetic number, because the mean of its divisors is an integer number (3261440).

Almost surely, 2^460868940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460868940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939294720).

460868940 is an abundant number, since it is smaller than the sum of its proper divisors (1417720500).

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

460868940 is a wasteful number, since it uses less digits than its factorization.

460868940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 460868940 is about 21467.8583002590. The cubic root of 460868940 is about 772.4300247673.

The spelling of 460868940 in words is "four hundred sixty million, eight hundred sixty-eight thousand, nine hundred forty".