22478400 has 252 divisors, whose sum is σ = 91716352. Its totient is φ = 5114880.

The previous prime is 22478399. The next prime is 22478419. The reversal of 22478400 is 487422.

It is a tau number, because it is divible by the number of its divisors (252).

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 35 ways as a sum of consecutive naturals, for example, 100689 + ... + 100911.

Almost surely, 2^22478400 is an apocalyptic number.

22478400 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 22478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45858176).

22478400 is an abundant number, since it is smaller than the sum of its proper divisors (69237952).

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

22478400 is a wasteful number, since it uses less digits than its factorization.

22478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 22478400 is about 4741.1391036332. The cubic root of 22478400 is about 282.2204402815.

The spelling of 22478400 in words is "twenty-two million, four hundred seventy-eight thousand, four hundred".