396366880 has 144 divisors (see below), whose sum is σ = 1173395160. Its totient is φ = 125411328.

The previous prime is 396366871. The next prime is 396366881. The reversal of 396366880 is 88663693.

It can be written as a sum of positive squares in 4 ways, for example, as 290770704 + 105596176 = 17052^2 + 10276^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (396366881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99976 + ... + 103864.

Almost surely, 2^396366880 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 396366880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586697580).

396366880 is an abundant number, since it is smaller than the sum of its proper divisors (777028280).

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

396366880 is a wasteful number, since it uses less digits than its factorization.

396366880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3931 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

The square root of 396366880 is about 19908.9648148767. The cubic root of 396366880 is about 734.5687568543.

The spelling of 396366880 in words is "three hundred ninety-six million, three hundred sixty-six thousand, eight hundred eighty".