396099648 has 168 divisors, whose sum is σ = 1339819520. Its totient is φ = 109486080.

The previous prime is 396099637. The next prime is 396099653. The reversal of 396099648 is 846990693.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×396099648² = 313789862291447808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 396099594 and 396099603.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123408 + ... + 126576.

Almost surely, 2^396099648 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 396099648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669909760).

396099648 is an abundant number, since it is smaller than the sum of its proper divisors (943719872).

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

396099648 is a wasteful number, since it uses less digits than its factorization.

396099648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3225 (or 3212 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 396099648 is about 19902.2523348489. The cubic root of 396099648 is about 734.4036367599.

The spelling of 396099648 in words is "three hundred ninety-six million, ninety-nine thousand, six hundred forty-eight".