395233320 has 64 divisors (see below), whose sum is σ = 1196233920. Its totient is φ = 104459264.

The previous prime is 395233261. The next prime is 395233331. The reversal of 395233320 is 23332593.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1014 + ... + 28133.

It is an arithmetic number, because the mean of its divisors is an integer number (18691155).

Almost surely, 2^395233320 is an apocalyptic number.

395233320 is a gapful number since it is divisible by the number (30) 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 395233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598116960).

395233320 is an abundant number, since it is smaller than the sum of its proper divisors (801000600).

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

395233320 is a wasteful number, since it uses less digits than its factorization.

395233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29274 (or 29270 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 30.

The square root of 395233320 is about 19880.4758494358. The cubic root of 395233320 is about 733.8678298003.

The spelling of 395233320 in words is "three hundred ninety-five million, two hundred thirty-three thousand, three hundred twenty".