396379920 has 80 divisors (see below), whose sum is σ = 1232010432. Its totient is φ = 105423360.

The previous prime is 396379913. The next prime is 396379937. The reversal of 396379920 is 29973693.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 396379920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99079 + ... + 103001.

Almost surely, 2^396379920 is an apocalyptic number.

396379920 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 396379920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616005216).

396379920 is an abundant number, since it is smaller than the sum of its proper divisors (835630512).

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

396379920 is a wasteful number, since it uses less digits than its factorization.

396379920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4360 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 48.

The square root of 396379920 is about 19909.2923028419. The cubic root of 396379920 is about 734.5768122461.

The spelling of 396379920 in words is "three hundred ninety-six million, three hundred seventy-nine thousand, nine hundred twenty".