22454400 has 96 divisors (see below), whose sum is σ = 73990800. Its totient is φ = 5985280.

The previous prime is 22454387. The next prime is 22454431. The reversal of 22454400 is 445422.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8431 + ... + 10769.

Almost surely, 2^22454400 is an apocalyptic number.

22454400 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 22454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36995400).

22454400 is an abundant number, since it is smaller than the sum of its proper divisors (51536400).

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

22454400 is a wasteful number, since it uses less digits than its factorization.

22454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 22454400 is about 4738.6073903627. The cubic root of 22454400 is about 282.1199630442.

Adding to 22454400 its reverse (445422), we get a palindrome (22899822).

The spelling of 22454400 in words is "twenty-two million, four hundred fifty-four thousand, four hundred".