22460400 has 180 divisors, whose sum is σ = 82753632. Its totient is φ = 5621760.

The previous prime is 22460377. The next prime is 22460423. The reversal of 22460400 is 406422.

It is an interprime number because it is at equal distance from previous prime (22460377) and next prime (22460423).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61017 + ... + 61383.

Almost surely, 2^22460400 is an apocalyptic number.

22460400 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 22460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41376816).

22460400 is an abundant number, since it is smaller than the sum of its proper divisors (60293232).

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

22460400 is a wasteful number, since it uses less digits than its factorization.

22460400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 22460400 is about 4739.2404454722. The cubic root of 22460400 is about 282.1450890630.

Adding to 22460400 its reverse (406422), we get a palindrome (22866822).

The spelling of 22460400 in words is "twenty-two million, four hundred sixty thousand, four hundred".