20744400 has 120 divisors (see below), whose sum is σ = 67808160. Its totient is φ = 5419520.

The previous prime is 20744393. The next prime is 20744407. The reversal of 20744400 is 444702.

It is an interprime number because it is at equal distance from previous prime (20744393) and next prime (20744407).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20744407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70654 + ... + 70946.

It is an arithmetic number, because the mean of its divisors is an integer number (565068).

Almost surely, 2^20744400 is an apocalyptic number.

20744400 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 20744400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33904080).

20744400 is an abundant number, since it is smaller than the sum of its proper divisors (47063760).

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

20744400 is a wasteful number, since it uses less digits than its factorization.

20744400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 20744400 is about 4554.6020682382. The cubic root of 20744400 is about 274.7685104255.

The spelling of 20744400 in words is "twenty million, seven hundred forty-four thousand, four hundred".