464589216 has 384 divisors, whose sum is σ = 1761177600. Its totient is φ = 115706880.

The previous prime is 464589199. The next prime is 464589221. The reversal of 464589216 is 612985464.

464589216 is a `hidden beast` number, since 4 + 64 + 589 + 2 + 1 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1493701 + ... + 1494011.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2^464589216 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 464589216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880588800).

464589216 is an abundant number, since it is smaller than the sum of its proper divisors (1296588384).

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

464589216 is a wasteful number, since it uses less digits than its factorization.

464589216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 355 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 464589216 is about 21554.3317224172. The cubic root of 464589216 is about 774.5028881406.

The spelling of 464589216 in words is "four hundred sixty-four million, five hundred eighty-nine thousand, two hundred sixteen".