242404000 has 48 divisors (see below), whose sum is σ = 595596456. Its totient is φ = 96960000.

The previous prime is 242403991. The next prime is 242404009. The reversal of 242404000 is 404242.

It is an interprime number because it is at equal distance from previous prime (242403991) and next prime (242404009).

It can be written as a sum of positive squares in 4 ways, for example, as 141039376 + 101364624 = 11876^2 + 10068^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (242404009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26301 + ... + 34300.

Almost surely, 2^242404000 is an apocalyptic number.

242404000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242404000 is an abundant number, since it is smaller than the sum of its proper divisors (353192456).

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

242404000 is an equidigital number, since it uses as much as digits as its factorization.

242404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60626 (or 60608 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 242404000 is about 15569.3288230418. The cubic root of 242404000 is about 623.5145523092.

Adding to 242404000 its reverse (404242), we get a palindrome (242808242).

The spelling of 242404000 in words is "two hundred forty-two million, four hundred four thousand".