393942420 has 192 divisors, whose sum is σ = 1283143680. Its totient is φ = 100224000.

The previous prime is 393942403. The next prime is 393942449. The reversal of 393942420 is 24249393.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1690624 + ... + 1690856.

It is an arithmetic number, because the mean of its divisors is an integer number (6683040).

Almost surely, 2^393942420 is an apocalyptic number.

393942420 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 393942420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641571840).

393942420 is an abundant number, since it is smaller than the sum of its proper divisors (889201260).

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

393942420 is a wasteful number, since it uses less digits than its factorization.

393942420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 393942420 is about 19847.9827690373. The cubic root of 393942420 is about 733.0679788331.

It can be divided in two parts, 39394 and 2420, that added together give a palindrome (41814).

The spelling of 393942420 in words is "three hundred ninety-three million, nine hundred forty-two thousand, four hundred twenty".