464874216 has 128 divisors (see below), whose sum is σ = 1280448000. Its totient is φ = 140113152.

The previous prime is 464874191. The next prime is 464874217. The reversal of 464874216 is 612478464.

It is a super-2 number, since 2×464874216² = 432216073403229312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (464874217) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 995215 + ... + 995681.

It is an arithmetic number, because the mean of its divisors is an integer number (10003500).

Almost surely, 2^464874216 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 464874216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640224000).

464874216 is an abundant number, since it is smaller than the sum of its proper divisors (815573784).

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

464874216 is a wasteful number, since it uses less digits than its factorization.

464874216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 587 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 464874216 is about 21560.9419089241. The cubic root of 464874216 is about 774.6612274469.

The spelling of 464874216 in words is "four hundred sixty-four million, eight hundred seventy-four thousand, two hundred sixteen".