393238440 has 384 divisors, whose sum is σ = 1581465600. Its totient is φ = 82736640.

The previous prime is 393238427. The next prime is 393238451. The reversal of 393238440 is 44832393.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 393238395 and 393238404.

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, 2058745 + ... + 2058935.

It is an arithmetic number, because the mean of its divisors is an integer number (4118400).

Almost surely, 2^393238440 is an apocalyptic number.

393238440 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 393238440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790732800).

393238440 is an abundant number, since it is smaller than the sum of its proper divisors (1188227160).

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

393238440 is a wasteful number, since it uses less digits than its factorization.

393238440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 393238440 is about 19830.2405431704. The cubic root of 393238440 is about 732.6310512687.

The spelling of 393238440 in words is "three hundred ninety-three million, two hundred thirty-eight thousand, four hundred forty".