228398400 has 336 divisors, whose sum is σ = 884407680. Its totient is φ = 57139200.

The previous prime is 228398399. The next prime is 228398437. The reversal of 228398400 is 4893822.

228398400 is a `hidden beast` number, since 228 + 398 + 40 + 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 734245 + ... + 734555.

Almost surely, 2^228398400 is an apocalyptic number.

228398400 is a gapful number since it is divisible by the number (20) 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 228398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442203840).

228398400 is an abundant number, since it is smaller than the sum of its proper divisors (656009280).

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

228398400 is a wasteful number, since it uses less digits than its factorization.

228398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 228398400 is about 15112.8554548768. The cubic root of 228398400 is about 611.2670965145.

The spelling of 228398400 in words is "two hundred twenty-eight million, three hundred ninety-eight thousand, four hundred".