460596096 has 192 divisors, whose sum is σ = 1453561200. Its totient is φ = 139345920.

The previous prime is 460596077. The next prime is 460596127. The reversal of 460596096 is 690695064.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 567531 + ... + 568341.

Almost surely, 2^460596096 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 460596096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726780600).

460596096 is an abundant number, since it is smaller than the sum of its proper divisors (992965104).

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

460596096 is a wasteful number, since it uses less digits than its factorization.

460596096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 460596096 is about 21461.5026500942. The cubic root of 460596096 is about 772.2775631286.

The spelling of 460596096 in words is "four hundred sixty million, five hundred ninety-six thousand, ninety-six".