398325600 has 252 divisors, whose sum is σ = 1460086236. Its totient is φ = 106064640.

The previous prime is 398325533. The next prime is 398325637. The reversal of 398325600 is 6523893.

398325600 is a `hidden beast` number, since 3 + 98 + 3 + 2 + 560 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 582859 + ... + 583541.

It is an arithmetic number, because the mean of its divisors is an integer number (5793993).

Almost surely, 2^398325600 is an apocalyptic number.

398325600 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 398325600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730043118).

398325600 is an abundant number, since it is smaller than the sum of its proper divisors (1061760636).

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

398325600 is an equidigital number, since it uses as much as digits as its factorization.

398325600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 398325600 is about 19958.0961015824. The cubic root of 398325600 is about 735.7767714637.

The spelling of 398325600 in words is "three hundred ninety-eight million, three hundred twenty-five thousand, six hundred".