242440400 has 120 divisors (see below), whose sum is σ = 624596184. Its totient is φ = 90112000.

The previous prime is 242440369. The next prime is 242440459. The reversal of 242440400 is 4044242.

242440400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 4787344 + 237653056 = 2188^2 + 15416^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 686624 + ... + 686976.

Almost surely, 2^242440400 is an apocalyptic number.

242440400 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 242440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312298092).

242440400 is an abundant number, since it is smaller than the sum of its proper divisors (382155784).

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

242440400 is a wasteful number, since it uses less digits than its factorization.

242440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 478 counting only the distinct ones).

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

The square root of 242440400 is about 15570.4977441314. The cubic root of 242440400 is about 623.5457602565.

Adding to 242440400 its reverse (4044242), we get a palindrome (246484642).

It can be divided in two parts, 2424 and 40400, that added together give a palindrome (42824).

The spelling of 242440400 in words is "two hundred forty-two million, four hundred forty thousand, four hundred".