460260864 has 240 divisors, whose sum is σ = 1600135680. Its totient is φ = 124416000.

The previous prime is 460260833. The next prime is 460260869. The reversal of 460260864 is 468062064.

It is a happy number.

460260864 is a `hidden beast` number, since 46 + 0 + 2 + 608 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460260869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612489 + ... + 613239.

It is an arithmetic number, because the mean of its divisors is an integer number (6667232).

Almost surely, 2^460260864 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 460260864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800067840).

460260864 is an abundant number, since it is smaller than the sum of its proper divisors (1139874816).

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

460260864 is a wasteful number, since it uses less digits than its factorization.

460260864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 460260864 is about 21453.6911509418. The cubic root of 460260864 is about 772.0901574393.

The spelling of 460260864 in words is "four hundred sixty million, two hundred sixty thousand, eight hundred sixty-four".