225354400 has 72 divisors (see below), whose sum is σ = 563026464. Its totient is φ = 88032000.

The previous prime is 225354361. The next prime is 225354401. The reversal of 225354400 is 4453522.

It is a super-3 number, since 3×225354400³ (a number of 26 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (225354401) by changing a digit.

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, 31125 + ... + 37675.

It is an arithmetic number, because the mean of its divisors is an integer number (7819812).

Almost surely, 2^225354400 is an apocalyptic number.

225354400 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 225354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281513232).

225354400 is an abundant number, since it is smaller than the sum of its proper divisors (337672064).

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

225354400 is a wasteful number, since it uses less digits than its factorization.

225354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6614 (or 6601 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 225354400 is about 15011.8086851652. The cubic root of 225354400 is about 608.5393701710.

The spelling of 225354400 in words is "two hundred twenty-five million, three hundred fifty-four thousand, four hundred".