460235808 has 72 divisors (see below), whose sum is σ = 1319205888. Its totient is φ = 152191872.

The previous prime is 460235753. The next prime is 460235843. The reversal of 460235808 is 808532064.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30285 + ... + 42867.

It is an arithmetic number, because the mean of its divisors is an integer number (18322304).

Almost surely, 2^460235808 is an apocalyptic number.

460235808 is a gapful number since it is divisible by the number (48) 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 460235808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659602944).

460235808 is an abundant number, since it is smaller than the sum of its proper divisors (858970080).

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

460235808 is a wasteful number, since it uses less digits than its factorization.

460235808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12726 (or 12715 counting only the distinct ones).

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

The square root of 460235808 is about 21453.1071875381. The cubic root of 460235808 is about 772.0761466587.

The spelling of 460235808 in words is "four hundred sixty million, two hundred thirty-five thousand, eight hundred eight".