224400400 has 135 divisors (see below), whose sum is σ = 633057789. Its totient is φ = 76218240.

The previous prime is 224400373. The next prime is 224400433. The reversal of 224400400 is 4004422.

The square root of 224400400 is 14980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 80784144 + 143616256 = 8988^2 + 11984^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2097147 + ... + 2097253.

Almost surely, 2^224400400 is an apocalyptic number.

224400400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

224400400 is the 14980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224400400

224400400 is an abundant number, since it is smaller than the sum of its proper divisors (408657389).

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

224400400 is a wasteful number, since it uses less digits than its factorization.

224400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The cubic root of 224400400 is about 607.6794391664.

Multiplying 224400400 by its sum of digits (16), we get a square (3590406400 = 59920²).

224400400 divided by its sum of digits (16) gives a square (14025025 = 3745²).

Multiplying 224400400 by its product of nonzero digits (256), we get a square (57446502400 = 239680²).

Adding to 224400400 its reverse (4004422), we get a palindrome (228404822).

The spelling of 224400400 in words is "two hundred twenty-four million, four hundred thousand, four hundred".