460215756 has 432 divisors, whose sum is σ = 1670020352. Its totient is φ = 107775360.

The previous prime is 460215733. The next prime is 460215787. The reversal of 460215756 is 657512064.

It is a happy number.

460215756 is a `hidden beast` number, since 4 + 60 + 21 + 575 + 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 460215756.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10702671 + ... + 10702713.

Almost surely, 2^460215756 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 460215756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835010176).

460215756 is an abundant number, since it is smaller than the sum of its proper divisors (1209804596).

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

460215756 is a wasteful number, since it uses less digits than its factorization.

460215756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 460215756 is about 21452.6398375585. The cubic root of 460215756 is about 772.0649336417.

The spelling of 460215756 in words is "four hundred sixty million, two hundred fifteen thousand, seven hundred fifty-six".