464181312 has 84 divisors (see below), whose sum is σ = 1428689040. Its totient is φ = 132620544.

The previous prime is 464181307. The next prime is 464181313. The reversal of 464181312 is 213181464.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a self number, because there is not a number n which added to its sum of digits gives 464181312.

It is not an unprimeable number, because it can be changed into a prime (464181313) 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 11 ways as a sum of consecutive naturals, for example, 15262 + ... + 34077.

Almost surely, 2^464181312 is an apocalyptic number.

464181312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

464181312 is an abundant number, since it is smaller than the sum of its proper divisors (964507728).

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

464181312 is a wasteful number, since it uses less digits than its factorization.

464181312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49368 (or 49351 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 464181312 is about 21544.8674166262. The cubic root of 464181312 is about 774.2761535550.

The spelling of 464181312 in words is "four hundred sixty-four million, one hundred eighty-one thousand, three hundred twelve".