460356516 has 72 divisors (see below), whose sum is σ = 1217866104. Its totient is φ = 146465280.

The previous prime is 460356503. The next prime is 460356521. The reversal of 460356516 is 615653064.

It can be written as a sum of positive squares in 4 ways, for example, as 322058916 + 138297600 = 17946^2 + 11760^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67336 + ... + 73856.

It is an arithmetic number, because the mean of its divisors is an integer number (16914807).

Almost surely, 2^460356516 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 460356516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608933052).

460356516 is an abundant number, since it is smaller than the sum of its proper divisors (757509588).

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

460356516 is a wasteful number, since it uses less digits than its factorization.

460356516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6621 (or 6616 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 460356516 is about 21455.9203018654. The cubic root of 460356516 is about 772.1436393218.

The spelling of 460356516 in words is "four hundred sixty million, three hundred fifty-six thousand, five hundred sixteen".