22466400 has 288 divisors, whose sum is σ = 85494528. Its totient is φ = 5068800.

The previous prime is 22466393. The next prime is 22466419. The reversal of 22466400 is 466422.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 607182 + ... + 607218.

It is an arithmetic number, because the mean of its divisors is an integer number (296856).

Almost surely, 2^22466400 is an apocalyptic number.

22466400 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 22466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42747264).

22466400 is an abundant number, since it is smaller than the sum of its proper divisors (63028128).

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

22466400 is a wasteful number, since it uses less digits than its factorization.

22466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 22466400 is about 4739.8734160313. The cubic root of 22466400 is about 282.1702106075.

It can be divided in two parts, 2246 and 6400, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 22466400 in words is "twenty-two million, four hundred sixty-six thousand, four hundred".