396128880 has 480 divisors, whose sum is σ = 1637895168. Its totient is φ = 87091200.

The previous prime is 396128869. The next prime is 396128897. The reversal of 396128880 is 88821693.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5579245 + ... + 5579315.

Almost surely, 2^396128880 is an apocalyptic number.

396128880 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 396128880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818947584).

396128880 is an abundant number, since it is smaller than the sum of its proper divisors (1241766288).

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

396128880 is a wasteful number, since it uses less digits than its factorization.

396128880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 396128880 is about 19902.9867105417. The cubic root of 396128880 is about 734.4217025497.

The spelling of 396128880 in words is "three hundred ninety-six million, one hundred twenty-eight thousand, eight hundred eighty".