460395384 has 64 divisors (see below), whose sum is σ = 1250688000. Its totient is φ = 140693760.

The previous prime is 460395373. The next prime is 460395389. The reversal of 460395384 is 483593064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460395389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2149 + ... + 30420.

It is an arithmetic number, because the mean of its divisors is an integer number (19542000).

Almost surely, 2^460395384 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 460395384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625344000).

460395384 is an abundant number, since it is smaller than the sum of its proper divisors (790292616).

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

460395384 is a wasteful number, since it uses less digits than its factorization.

460395384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32628 (or 32624 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 460395384 is about 21456.8260467386. The cubic root of 460395384 is about 772.1653694616.

The spelling of 460395384 in words is "four hundred sixty million, three hundred ninety-five thousand, three hundred eighty-four".