242298400 has 36 divisors (see below), whose sum is σ = 591512922. Its totient is φ = 96919040.

The previous prime is 242298391. The next prime is 242298409. The reversal of 242298400 is 4892242.

It is an interprime number because it is at equal distance from previous prime (242298391) and next prime (242298409).

It can be written as a sum of positive squares in 3 ways, for example, as 146023056 + 96275344 = 12084^2 + 9812^2 .

It is not an unprimeable number, because it can be changed into a prime (242298409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 150637 + ... + 152236.

Almost surely, 2^242298400 is an apocalyptic number.

242298400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242298400 is an abundant number, since it is smaller than the sum of its proper divisors (349214522).

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

242298400 is a wasteful number, since it uses less digits than its factorization.

242298400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302893 (or 302880 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 242298400 is about 15565.9371706300. The cubic root of 242298400 is about 623.4239972850.

The spelling of 242298400 in words is "two hundred forty-two million, two hundred ninety-eight thousand, four hundred".