460125864 has 144 divisors (see below), whose sum is σ = 1394284320. Its totient is φ = 135946560.

The previous prime is 460125863. The next prime is 460125877. The reversal of 460125864 is 468521064.

460125864 is a `hidden beast` number, since 4 + 60 + 12 + 586 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (460125863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1749397 + ... + 1749659.

It is an arithmetic number, because the mean of its divisors is an integer number (9682530).

Almost surely, 2^460125864 is an apocalyptic number.

460125864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460125864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697142160).

460125864 is an abundant number, since it is smaller than the sum of its proper divisors (934158456).

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

460125864 is a wasteful number, since it uses less digits than its factorization.

460125864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 460125864 is about 21450.5446084709. The cubic root of 460125864 is about 772.0146623075.

The spelling of 460125864 in words is "four hundred sixty million, one hundred twenty-five thousand, eight hundred sixty-four".