228992400 has 480 divisors, whose sum is σ = 1007435520. Its totient is φ = 48107520.

The previous prime is 228992359. The next prime is 228992411. The reversal of 228992400 is 4299822.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 982684 + ... + 982916.

It is an arithmetic number, because the mean of its divisors is an integer number (2098824).

Almost surely, 2^228992400 is an apocalyptic number.

228992400 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 228992400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503717760).

228992400 is an abundant number, since it is smaller than the sum of its proper divisors (778443120).

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

228992400 is a wasteful number, since it uses less digits than its factorization.

228992400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 228992400 is about 15132.4948372699. The cubic root of 228992400 is about 611.7965490589.

The spelling of 228992400 in words is "two hundred twenty-eight million, nine hundred ninety-two thousand, four hundred".