22407840 has 480 divisors, whose sum is σ = 102453120. Its totient is φ = 4478976.

The previous prime is 22407809. The next prime is 22407841. The reversal of 22407840 is 4870422.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×22407840² = 1004222586931200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22407841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1179351 + ... + 1179369.

It is an arithmetic number, because the mean of its divisors is an integer number (213444).

Almost surely, 2^22407840 is an apocalyptic number.

22407840 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 22407840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51226560).

22407840 is an abundant number, since it is smaller than the sum of its proper divisors (80045280).

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

22407840 is a wasteful number, since it uses less digits than its factorization.

22407840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 49 counting only the distinct ones).

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

The square root of 22407840 is about 4733.6920051900. The cubic root of 22407840 is about 281.9248328406.

The spelling of 22407840 in words is "twenty-two million, four hundred seven thousand, eight hundred forty".