242140400 has 60 divisors (see below), whose sum is σ = 586309944. Its totient is φ = 96096000.

The previous prime is 242140387. The next prime is 242140403. The reversal of 242140400 is 4041242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242140403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50090 + ... + 54710.

Almost surely, 2^242140400 is an apocalyptic number.

242140400 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 242140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293154972).

242140400 is an abundant number, since it is smaller than the sum of its proper divisors (344169544).

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

242140400 is a wasteful number, since it uses less digits than its factorization.

242140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4770 (or 4759 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 242140400 is about 15560.8611586891. The cubic root of 242140400 is about 623.2884586135.

Adding to 242140400 its reverse (4041242), we get a palindrome (246181642).

The spelling of 242140400 in words is "two hundred forty-two million, one hundred forty thousand, four hundred".