396879264 has 192 divisors, whose sum is σ = 1205124480. Its totient is φ = 128583936.

The previous prime is 396879251. The next prime is 396879269. The reversal of 396879264 is 462978693.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 396879264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396879269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3709099 + ... + 3709205.

It is an arithmetic number, because the mean of its divisors is an integer number (6276690).

Almost surely, 2^396879264 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 396879264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602562240).

396879264 is an abundant number, since it is smaller than the sum of its proper divisors (808245216).

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

396879264 is an equidigital number, since it uses as much as digits as its factorization.

396879264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 165 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 396879264 is about 19921.8288317112. The cubic root of 396879264 is about 734.8851465684.

The spelling of 396879264 in words is "three hundred ninety-six million, eight hundred seventy-nine thousand, two hundred sixty-four".