225784400 has 60 divisors (see below), whose sum is σ = 555104352. Its totient is φ = 88206720.

The previous prime is 225784379. The next prime is 225784421. The reversal of 225784400 is 4487522.

It is an interprime number because it is at equal distance from previous prime (225784379) and next prime (225784421).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10637 + ... + 23763.

Almost surely, 2^225784400 is an apocalyptic number.

225784400 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 225784400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277552176).

225784400 is an abundant number, since it is smaller than the sum of its proper divisors (329319952).

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

225784400 is a wasteful number, since it uses less digits than its factorization.

225784400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13188 (or 13177 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 225784400 is about 15026.1239180302. The cubic root of 225784400 is about 608.9261767193.

The spelling of 225784400 in words is "two hundred twenty-five million, seven hundred eighty-four thousand, four hundred".