396679680 has 200 divisors, whose sum is σ = 1421523972. Its totient is φ = 105725952.

The previous prime is 396679669. The next prime is 396679711. The reversal of 396679680 is 86976693.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 389193984 + 7485696 = 19728^2 + 2736^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 206404 + ... + 208316.

Almost surely, 2^396679680 is an apocalyptic number.

396679680 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 396679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710761986).

396679680 is an abundant number, since it is smaller than the sum of its proper divisors (1024844292).

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

396679680 is an equidigital number, since it uses as much as digits as its factorization.

396679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 396679680 is about 19916.8190231272. The cubic root of 396679680 is about 734.7619387287.

The spelling of 396679680 in words is "three hundred ninety-six million, six hundred seventy-nine thousand, six hundred eighty".