396379752 has 64 divisors (see below), whose sum is σ = 1059739200. Its totient is φ = 123110400.

The previous prime is 396379751. The next prime is 396379799. The reversal of 396379752 is 257973693.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 396379695 and 396379704.

It is not an unprimeable number, because it can be changed into a prime (396379751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36399 + ... + 46017.

It is an arithmetic number, because the mean of its divisors is an integer number (16558425).

Almost surely, 2^396379752 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 396379752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529869600).

396379752 is an abundant number, since it is smaller than the sum of its proper divisors (663359448).

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

396379752 is a wasteful number, since it uses less digits than its factorization.

396379752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9746 (or 9742 counting only the distinct ones).

The product of its digits is 2143260, while the sum is 51.

The square root of 396379752 is about 19909.2880837061. The cubic root of 396379752 is about 734.5767084661.

The spelling of 396379752 in words is "three hundred ninety-six million, three hundred seventy-nine thousand, seven hundred fifty-two".