464100516 has 120 divisors (see below), whose sum is σ = 1337013216. Its totient is φ = 139207680.

The previous prime is 464100503. The next prime is 464100521. The reversal of 464100516 is 615001464.

464100516 is a `hidden beast` number, since 4 + 641 + 0 + 0 + 5 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 464100516.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 380740 + ... + 381956.

Almost surely, 2^464100516 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 464100516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668506608).

464100516 is an abundant number, since it is smaller than the sum of its proper divisors (872912700).

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

464100516 is a wasteful number, since it uses less digits than its factorization.

464100516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 464100516 is about 21542.9922712700. The cubic root of 464100516 is about 774.2312271118.

The spelling of 464100516 in words is "four hundred sixty-four million, one hundred thousand, five hundred sixteen".