383846464 has 63 divisors (see below), whose sum is σ = 797147631. Its totient is φ = 183381120.

The previous prime is 383846461. The next prime is 383846479. The reversal of 383846464 is 464648383.

The square root of 383846464 is 19592.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (383846461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4858777 + ... + 4858855.

It is an arithmetic number, because the mean of its divisors is an integer number (12653137).

Almost surely, 2^383846464 is an apocalyptic number.

383846464 is the 19592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 383846464

383846464 is an abundant number, since it is smaller than the sum of its proper divisors (413301167).

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

383846464 is an frugal number, since it uses more digits than its factorization.

383846464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 112 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 46.

The cubic root of 383846464 is about 726.7513515012.

Multiplying 383846464 by its product of digits (1327104), we get a square (509404177760256 = 22569984²).

The spelling of 383846464 in words is "three hundred eighty-three million, eight hundred forty-six thousand, four hundred sixty-four".