393913332 has 72 divisors (see below), whose sum is σ = 1014485472. Its totient is φ = 128856000.

The previous prime is 393913321. The next prime is 393913343. The reversal of 393913332 is 233319393.

It is an interprime number because it is at equal distance from previous prime (393913321) and next prime (393913343).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 475903 + ... + 476729.

It is an arithmetic number, because the mean of its divisors is an integer number (14090076).

Almost surely, 2^393913332 is an apocalyptic number.

393913332 is the 9924-th decagonal number.

It is an amenable number.

393913332 is an abundant number, since it is smaller than the sum of its proper divisors (620572140).

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

393913332 is a wasteful number, since it uses less digits than its factorization.

393913332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1064 counting only the distinct ones).

The product of its digits is 39366, while the sum is 36.

The square root of 393913332 is about 19847.2499858293. The cubic root of 393913332 is about 733.0499355819.

It can be divided in two parts, 3939 and 13332, that added together give a palindrome (17271).

The spelling of 393913332 in words is "three hundred ninety-three million, nine hundred thirteen thousand, three hundred thirty-two".