460526496 has 96 divisors (see below), whose sum is σ = 1266269760. Its totient is φ = 146356224.

The previous prime is 460526491. The next prime is 460526509. The reversal of 460526496 is 694625064.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (460526491) 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, 230076 + ... + 232068.

It is an arithmetic number, because the mean of its divisors is an integer number (13190310).

Almost surely, 2^460526496 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 460526496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633134880).

460526496 is an abundant number, since it is smaller than the sum of its proper divisors (805743264).

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

460526496 is a wasteful number, since it uses less digits than its factorization.

460526496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 2110 counting only the distinct ones).

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

The square root of 460526496 is about 21459.8810807516. The cubic root of 460526496 is about 772.2386619261.

The spelling of 460526496 in words is "four hundred sixty million, five hundred twenty-six thousand, four hundred ninety-six".