398810412 has 576 divisors, whose sum is σ = 1544417280. Its totient is φ = 87091200.

The previous prime is 398810411. The next prime is 398810413. The reversal of 398810412 is 214018893.

It is an interprime number because it is at equal distance from previous prime (398810411) and next prime (398810413).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (398810411) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12864837 + ... + 12864867.

It is an arithmetic number, because the mean of its divisors is an integer number (2681280).

Almost surely, 2^398810412 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 398810412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772208640).

398810412 is an abundant number, since it is smaller than the sum of its proper divisors (1145606868).

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

398810412 is a wasteful number, since it uses less digits than its factorization.

398810412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 398810412 is about 19970.2381558158. The cubic root of 398810412 is about 736.0751611766.

It can be divided in two parts, 3988 and 10412, that added together give a square (14400 = 120²).

The spelling of 398810412 in words is "three hundred ninety-eight million, eight hundred ten thousand, four hundred twelve".