464383392 has 96 divisors (see below), whose sum is σ = 1338773184. Its totient is φ = 139776000.

The previous prime is 464383391. The next prime is 464383397. The reversal of 464383392 is 293383464.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (464383391) 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 15 ways as a sum of consecutive naturals, for example, 164392 + ... + 167192.

It is an arithmetic number, because the mean of its divisors is an integer number (13945554).

Almost surely, 2^464383392 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 464383392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669386592).

464383392 is an abundant number, since it is smaller than the sum of its proper divisors (874389792).

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

464383392 is a wasteful number, since it uses less digits than its factorization.

464383392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2982 (or 2974 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

The square root of 464383392 is about 21549.5566543723. The cubic root of 464383392 is about 774.3884968865.

The spelling of 464383392 in words is "four hundred sixty-four million, three hundred eighty-three thousand, three hundred ninety-two".