398244600 has 480 divisors, whose sum is σ = 1562816640. Its totient is φ = 93312000.

The previous prime is 398244593. The next prime is 398244607. The reversal of 398244600 is 6442893.

It is a happy number.

398244600 is a `hidden beast` number, since 3 + 9 + 8 + 2 + 44 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (398244593) and next prime (398244607).

It is a super-2 number, since 2×398244600² = 317197522858320000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398244607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6528570 + ... + 6528630.

It is an arithmetic number, because the mean of its divisors is an integer number (3255868).

Almost surely, 2^398244600 is an apocalyptic number.

398244600 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 398244600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781408320).

398244600 is an abundant number, since it is smaller than the sum of its proper divisors (1164572040).

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

398244600 is a wasteful number, since it uses less digits than its factorization.

398244600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 398244600 is about 19956.0667467314. The cubic root of 398244600 is about 735.7268943792.

The spelling of 398244600 in words is "three hundred ninety-eight million, two hundred forty-four thousand, six hundred".