393360930 has 72 divisors (see below), whose sum is σ = 1059425172. Its totient is φ = 101259648.

The previous prime is 393360917. The next prime is 393360931. The reversal of 393360930 is 39063393.

It can be written as a sum of positive squares in 6 ways, for example, as 170067681 + 223293249 = 13041^2 + 14943^2 .

It is not an unprimeable number, because it can be changed into a prime (393360931) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 73092 + ... + 78288.

Almost surely, 2^393360930 is an apocalyptic number.

393360930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 393360930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529712586).

393360930 is an abundant number, since it is smaller than the sum of its proper divisors (666064242).

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

393360930 is a wasteful number, since it uses less digits than its factorization.

393360930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5268 (or 5236 counting only the distinct ones).

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

The square root of 393360930 is about 19833.3287675065. The cubic root of 393360930 is about 732.7071125522.

The spelling of 393360930 in words is "three hundred ninety-three million, three hundred sixty thousand, nine hundred thirty".