393311052 has 72 divisors (see below), whose sum is σ = 1037627136. Its totient is φ = 130264848.

The previous prime is 393311047. The next prime is 393311071. The reversal of 393311052 is 250113393.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 161113 + ... + 163535.

It is an arithmetic number, because the mean of its divisors is an integer number (14411488).

Almost surely, 2^393311052 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 393311052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518813568).

393311052 is an abundant number, since it is smaller than the sum of its proper divisors (644316084).

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

393311052 is a wasteful number, since it uses less digits than its factorization.

393311052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2609 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 393311052 is about 19832.0712987827. The cubic root of 393311052 is about 732.6761422589.

The spelling of 393311052 in words is "three hundred ninety-three million, three hundred eleven thousand, fifty-two".