228252400 has 60 divisors (see below), whose sum is σ = 553605192. Its totient is φ = 90430720.

The previous prime is 228252379. The next prime is 228252413. The reversal of 228252400 is 4252822.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40134 + ... + 45466.

Almost surely, 2^228252400 is an apocalyptic number.

228252400 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 228252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276802596).

228252400 is an abundant number, since it is smaller than the sum of its proper divisors (325352792).

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

228252400 is a wasteful number, since it uses less digits than its factorization.

228252400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5458 (or 5447 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 228252400 is about 15108.0243579364. The cubic root of 228252400 is about 611.1368212018.

The spelling of 228252400 in words is "two hundred twenty-eight million, two hundred fifty-two thousand, four hundred".