460533456 has 60 divisors (see below), whose sum is σ = 1333309380. Its totient is φ = 148216320.

The previous prime is 460533433. The next prime is 460533461. The reversal of 460533456 is 654335064.

460533456 is a `hidden beast` number, since 4 + 605 + 3 + 3 + 45 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 185504400 + 275029056 = 13620^2 + 16584^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 460533456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50965 + ... + 59316.

It is an arithmetic number, because the mean of its divisors is an integer number (22221823).

Almost surely, 2^460533456 is an apocalyptic number.

It is an amenable number.

460533456 is an abundant number, since it is smaller than the sum of its proper divisors (872775924).

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

460533456 is a wasteful number, since it uses less digits than its factorization.

460533456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110324 (or 110315 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 460533456 is about 21460.0432431997. The cubic root of 460533456 is about 772.2425522228.

The spelling of 460533456 in words is "four hundred sixty million, five hundred thirty-three thousand, four hundred fifty-six".