398828400 has 120 divisors (see below), whose sum is σ = 1286048640. Its totient is φ = 105649920.

The previous prime is 398828399. The next prime is 398828407. The reversal of 398828400 is 4828893.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398828407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194581 + ... + 196619.

It is an arithmetic number, because the mean of its divisors is an integer number (10717072).

Almost surely, 2^398828400 is an apocalyptic number.

398828400 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 398828400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643024320).

398828400 is an abundant number, since it is smaller than the sum of its proper divisors (887220240).

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

398828400 is a wasteful number, since it uses less digits than its factorization.

398828400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 398828400 is about 19970.6885209299. The cubic root of 398828400 is about 736.0862276888.

The spelling of 398828400 in words is "three hundred ninety-eight million, eight hundred twenty-eight thousand, four hundred".