460874568 has 128 divisors (see below), whose sum is σ = 1449861120. Its totient is φ = 118594560.

The previous prime is 460874567. The next prime is 460874569. The reversal of 460874568 is 865478064.

It is an interprime number because it is at equal distance from previous prime (460874567) and next prime (460874569).

It is not an unprimeable number, because it can be changed into a prime (460874567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207721 + ... + 209927.

It is an arithmetic number, because the mean of its divisors is an integer number (11327040).

Almost surely, 2^460874568 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 460874568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724930560).

460874568 is an abundant number, since it is smaller than the sum of its proper divisors (988986552).

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

460874568 is a wasteful number, since it uses less digits than its factorization.

460874568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 460874568 is about 21467.9893795390. The cubic root of 460874568 is about 772.4331689862.

The spelling of 460874568 in words is "four hundred sixty million, eight hundred seventy-four thousand, five hundred sixty-eight".