393360240 has 480 divisors, whose sum is σ = 1595897856. Its totient is φ = 79349760.

The previous prime is 393360151. The next prime is 393360293. The reversal of 393360240 is 42063393.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 393360198 and 393360207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4739239 + ... + 4739321.

Almost surely, 2^393360240 is an apocalyptic number.

393360240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393360240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797948928).

393360240 is an abundant number, since it is smaller than the sum of its proper divisors (1202537616).

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

393360240 is a wasteful number, since it uses less digits than its factorization.

393360240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 393360240 is about 19833.3113725369. The cubic root of 393360240 is about 732.7066841346.

The spelling of 393360240 in words is "three hundred ninety-three million, three hundred sixty thousand, two hundred forty".