460352970 has 320 divisors, whose sum is σ = 1581541632. Its totient is φ = 94089600.

The previous prime is 460352953. The next prime is 460352983. The reversal of 460352970 is 79253064.

460352970 is a `hidden beast` number, since 4 + 60 + 3 + 529 + 70 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7546740 + ... + 7546800.

Almost surely, 2^460352970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460352970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790770816).

460352970 is an abundant number, since it is smaller than the sum of its proper divisors (1121188662).

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

460352970 is a wasteful number, since it uses less digits than its factorization.

460352970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 460352970 is about 21455.8376671711. The cubic root of 460352970 is about 772.1416567798.

The spelling of 460352970 in words is "four hundred sixty million, three hundred fifty-two thousand, nine hundred seventy".