398412000 has 768 divisors, whose sum is σ = 1811496960. Its totient is φ = 82944000.

The previous prime is 398411999. The next prime is 398412011. The reversal of 398412000 is 214893.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12851985 + ... + 12852015.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 2^398412000 is an apocalyptic number.

398412000 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 398412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905748480).

398412000 is an abundant number, since it is smaller than the sum of its proper divisors (1413084960).

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

398412000 is a wasteful number, since it uses less digits than its factorization.

398412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 398412000 is about 19960.2605193419. The cubic root of 398412000 is about 735.8299662347.

Adding to 398412000 its reverse (214893), we get a palindrome (398626893).

The spelling of 398412000 in words is "three hundred ninety-eight million, four hundred twelve thousand".