393341832 has 160 divisors (see below), whose sum is σ = 1210227480. Its totient is φ = 118609920.

The previous prime is 393341831. The next prime is 393341873. The reversal of 393341832 is 238143393.

It can be written as a sum of positive squares in 4 ways, for example, as 249197796 + 144144036 = 15786^2 + 12006^2 .

It is a super-2 number, since 2×393341832² = 309435593602232448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (393341831) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 446032 + ... + 446912.

Almost surely, 2^393341832 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 393341832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605113740).

393341832 is an abundant number, since it is smaller than the sum of its proper divisors (816885648).

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

393341832 is a wasteful number, since it uses less digits than its factorization.

393341832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 952 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 393341832 is about 19832.8472993668. The cubic root of 393341832 is about 732.6952545139.

It can be divided in two parts, 393 and 341832, that added together give a square (342225 = 585²).

The spelling of 393341832 in words is "three hundred ninety-three million, three hundred forty-one thousand, eight hundred thirty-two".