393943040 has 192 divisors, whose sum is σ = 1047271680. Its totient is φ = 141557760.

The previous prime is 393943031. The next prime is 393943111. The reversal of 393943040 is 40349393.

It is a super-2 number, since 2×393943040² = 310382237528883200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5396444 + ... + 5396516.

It is an arithmetic number, because the mean of its divisors is an integer number (5454540).

Almost surely, 2^393943040 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 393943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523635840).

393943040 is an abundant number, since it is smaller than the sum of its proper divisors (653328640).

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

393943040 is a wasteful number, since it uses less digits than its factorization.

393943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 35.

The square root of 393943040 is about 19847.9983877468. The cubic root of 393943040 is about 733.0683634087.

The spelling of 393943040 in words is "three hundred ninety-three million, nine hundred forty-three thousand, forty".