228074400 has 144 divisors (see below), whose sum is σ = 824947200. Its totient is φ = 60814080.

The previous prime is 228074383. The next prime is 228074443. The reversal of 228074400 is 4470822.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16321 + ... + 26879.

It is an arithmetic number, because the mean of its divisors is an integer number (5728800).

Almost surely, 2^228074400 is an apocalyptic number.

228074400 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 228074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412473600).

228074400 is an abundant number, since it is smaller than the sum of its proper divisors (596872800).

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

228074400 is a wasteful number, since it uses less digits than its factorization.

228074400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10588 (or 10569 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 228074400 is about 15102.1322997781. The cubic root of 228074400 is about 610.9779172224.

The spelling of 228074400 in words is "two hundred twenty-eight million, seventy-four thousand, four hundred".