393420307392 has 560 divisors, whose sum is σ = 1414334423040. Its totient is φ = 105627691008.

The previous prime is 393420307387. The next prime is 393420307409. The reversal of 393420307392 is 293703024393.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 87560698 + ... + 87565190.

It is an arithmetic number, because the mean of its divisors is an integer number (2525597184).

Almost surely, 2^393420307392 is an apocalyptic number.

393420307392 is a gapful number since it is divisible by the number (32) 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 393420307392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707167211520).

393420307392 is an abundant number, since it is smaller than the sum of its proper divisors (1020914115648).

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

393420307392 is a wasteful number, since it uses less digits than its factorization.

393420307392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4670 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 45.

The spelling of 393420307392 in words is "three hundred ninety-three billion, four hundred twenty million, three hundred seven thousand, three hundred ninety-two".