242044400 has 120 divisors (see below), whose sum is σ = 634490640. Its totient is φ = 88197120.

The previous prime is 242044381. The next prime is 242044403. The reversal of 242044400 is 4440242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242044403) 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, 462539 + ... + 463061.

It is an arithmetic number, because the mean of its divisors is an integer number (5287422).

Almost surely, 2^242044400 is an apocalyptic number.

242044400 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 242044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317245320).

242044400 is an abundant number, since it is smaller than the sum of its proper divisors (392446240).

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

242044400 is a wasteful number, since it uses less digits than its factorization.

242044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 242044400 is about 15557.7761907028. The cubic root of 242044400 is about 623.2060772053.

Adding to 242044400 its reverse (4440242), we get a palindrome (246484642).

The spelling of 242044400 in words is "two hundred forty-two million, forty-four thousand, four hundred".