228972400 has 60 divisors (see below), whose sum is σ = 569104200. Its totient is φ = 88426240.

The previous prime is 228972397. The next prime is 228972409. The reversal of 228972400 is 4279822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228972409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1731 + ... + 21469.

It is an arithmetic number, because the mean of its divisors is an integer number (9485070).

Almost surely, 2^228972400 is an apocalyptic number.

228972400 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 228972400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284552100).

228972400 is an abundant number, since it is smaller than the sum of its proper divisors (340131800).

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

228972400 is a wasteful number, since it uses less digits than its factorization.

228972400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19786 (or 19775 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 228972400 is about 15131.8339932739. The cubic root of 228972400 is about 611.7787372782.

The spelling of 228972400 in words is "two hundred twenty-eight million, nine hundred seventy-two thousand, four hundred".