396359280 has 120 divisors (see below), whose sum is σ = 1337927760. Its totient is φ = 105154560.

The previous prime is 396359263. The next prime is 396359311. The reversal of 396359280 is 82953693.

396359280 is a `hidden beast` number, since 3 + 9 + 635 + 9 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150616 + ... + 153224.

It is an arithmetic number, because the mean of its divisors is an integer number (11149398).

Almost surely, 2^396359280 is an apocalyptic number.

396359280 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 396359280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668963880).

396359280 is an abundant number, since it is smaller than the sum of its proper divisors (941568480).

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

396359280 is a wasteful number, since it uses less digits than its factorization.

396359280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 396359280 is about 19908.7739451730. The cubic root of 396359280 is about 734.5640619126.

The spelling of 396359280 in words is "three hundred ninety-six million, three hundred fifty-nine thousand, two hundred eighty".