224498400 has 432 divisors, whose sum is σ = 897692544. Its totient is φ = 48491520.

The previous prime is 224498389. The next prime is 224498429. The reversal of 224498400 is 4894422.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2704759 + ... + 2704841.

It is an arithmetic number, because the mean of its divisors is an integer number (2077992).

Almost surely, 2^224498400 is an apocalyptic number.

224498400 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 224498400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448846272).

224498400 is an abundant number, since it is smaller than the sum of its proper divisors (673194144).

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

224498400 is a wasteful number, since it uses less digits than its factorization.

224498400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 224498400 is about 14983.2706709850. The cubic root of 224498400 is about 607.7678880847.

The spelling of 224498400 in words is "two hundred twenty-four million, four hundred ninety-eight thousand, four hundred".