242504000 has 56 divisors (see below), whose sum is σ = 600580968. Its totient is φ = 96998400.

The previous prime is 242503993. The next prime is 242504063. The reversal of 242504000 is 405242.

It can be written as a sum of positive squares in 4 ways, for example, as 141376 + 242362624 = 376^2 + 15568^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 242504000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7157 + ... + 23156.

Almost surely, 2^242504000 is an apocalyptic number.

242504000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242504000 is an abundant number, since it is smaller than the sum of its proper divisors (358076968).

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

242504000 is an equidigital number, since it uses as much as digits as its factorization.

242504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30340 (or 30320 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 242504000 is about 15572.5399341276. The cubic root of 242504000 is about 623.6002809319.

Adding to 242504000 its reverse (405242), we get a palindrome (242909242).

The spelling of 242504000 in words is "two hundred forty-two million, five hundred four thousand".