460936896 has 112 divisors (see below), whose sum is σ = 1423635456. Its totient is φ = 128876544.

The previous prime is 460936873. The next prime is 460936897. The reversal of 460936896 is 698639064.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×460936896² = 424925644188229632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (460936897) 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, 59520 + ... + 66816.

Almost surely, 2^460936896 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 460936896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711817728).

460936896 is an abundant number, since it is smaller than the sum of its proper divisors (962698560).

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

460936896 is a wasteful number, since it uses less digits than its factorization.

460936896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7366 (or 7356 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The square root of 460936896 is about 21469.4409801466. The cubic root of 460936896 is about 772.4679883259.

The spelling of 460936896 in words is "four hundred sixty million, nine hundred thirty-six thousand, eight hundred ninety-six".