398812960 has 288 divisors, whose sum is σ = 1217462400. Its totient is φ = 123282432.

The previous prime is 398812933. The next prime is 398812991. The reversal of 398812960 is 69218893.

It is a self number, because there is not a number n which added to its sum of digits gives 398812960.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9274699 + ... + 9274741.

It is an arithmetic number, because the mean of its divisors is an integer number (4227300).

Almost surely, 2^398812960 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 398812960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608731200).

398812960 is an abundant number, since it is smaller than the sum of its proper divisors (818649440).

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

398812960 is a wasteful number, since it uses less digits than its factorization.

398812960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 398812960 is about 19970.3019506466. The cubic root of 398812960 is about 736.0767287682.

The spelling of 398812960 in words is "three hundred ninety-eight million, eight hundred twelve thousand, nine hundred sixty".