242304400 has 120 divisors (see below), whose sum is σ = 664035624. Its totient is φ = 84172800.

The previous prime is 242304373. The next prime is 242304407. The reversal of 242304400 is 4403242.

It can be written as a sum of positive squares in 12 ways, for example, as 97535376 + 144769024 = 9876^2 + 12032^2 .

It is a super-2 number, since 2×242304400² = 117422844518720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242304407) 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, 87030 + ... + 89770.

Almost surely, 2^242304400 is an apocalyptic number.

242304400 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 242304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332017812).

242304400 is an abundant number, since it is smaller than the sum of its proper divisors (421731224).

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

242304400 is a wasteful number, since it uses less digits than its factorization.

242304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 242304400 is about 15566.1298979547. The cubic root of 242304400 is about 623.4291431618.

Adding to 242304400 its reverse (4403242), we get a palindrome (246707642).

The spelling of 242304400 in words is "two hundred forty-two million, three hundred four thousand, four hundred".