464216832 has 180 divisors, whose sum is σ = 1410736096. Its totient is φ = 151787520.

The previous prime is 464216827. The next prime is 464216839. The reversal of 464216832 is 238612464.

464216832 is a `hidden beast` number, since 4 + 642 + 1 + 6 + 8 + 3 + 2 = 666.

It is a super-3 number, since 3×464216832³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (464216839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1264713 + ... + 1265079.

Almost surely, 2^464216832 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 464216832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705368048).

464216832 is an abundant number, since it is smaller than the sum of its proper divisors (946519264).

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

464216832 is an equidigital number, since it uses as much as digits as its factorization.

464216832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 433 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 464216832 is about 21545.6917271180. The cubic root of 464216832 is about 774.2959027254.

The spelling of 464216832 in words is "four hundred sixty-four million, two hundred sixteen thousand, eight hundred thirty-two".