460340496 has 300 divisors, whose sum is σ = 1693351440. Its totient is φ = 119387520.

The previous prime is 460340477. The next prime is 460340533. The reversal of 460340496 is 694043064.

460340496 is a `hidden beast` number, since 4 + 603 + 4 + 0 + 49 + 6 = 666.

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 460340496.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 698215 + ... + 698873.

Almost surely, 2^460340496 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 460340496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846675720).

460340496 is an abundant number, since it is smaller than the sum of its proper divisors (1233010944).

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

460340496 is a wasteful number, since it uses less digits than its factorization.

460340496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 460340496 is about 21455.5469750832. The cubic root of 460340496 is about 772.1346825791.

The spelling of 460340496 in words is "four hundred sixty million, three hundred forty thousand, four hundred ninety-six".