391964832 has 288 divisors, whose sum is σ = 1394265600. Its totient is φ = 105815808.

The previous prime is 391964831. The next prime is 391964843. The reversal of 391964832 is 238469193.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 (391964831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1034019 + ... + 1034397.

It is an arithmetic number, because the mean of its divisors is an integer number (4841200).

Almost surely, 2^391964832 is an apocalyptic number.

391964832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 391964832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697132800).

391964832 is an abundant number, since it is smaller than the sum of its proper divisors (1002300768).

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

391964832 is a wasteful number, since it uses less digits than its factorization.

391964832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 410 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 391964832 is about 19798.1017271859. The cubic root of 391964832 is about 731.8392552169.

The spelling of 391964832 in words is "three hundred ninety-one million, nine hundred sixty-four thousand, eight hundred thirty-two".