393379840 has 160 divisors (see below), whose sum is σ = 1101381210. Its totient is φ = 134873088.

The previous prime is 393379771. The next prime is 393379859. The reversal of 393379840 is 48973393.

It can be written as a sum of positive squares in only one way, i.e., 354041856 + 39337984 = 18816^2 + 6272^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 56197117 + ... + 56197123.

Almost surely, 2^393379840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550690605).

393379840 is an abundant number, since it is smaller than the sum of its proper divisors (708001370).

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

393379840 is an frugal number, since it uses more digits than its factorization.

393379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 46.

The square root of 393379840 is about 19833.8054845761. The cubic root of 393379840 is about 732.7188534822.

The spelling of 393379840 in words is "three hundred ninety-three million, three hundred seventy-nine thousand, eight hundred forty".