242752400 has 60 divisors (see below), whose sum is σ = 636243504. Its totient is φ = 88272000.

The previous prime is 242752397. The next prime is 242752403. The reversal of 242752400 is 4257242.

It is an interprime number because it is at equal distance from previous prime (242752397) and next prime (242752403).

It is a self number, because there is not a number n which added to its sum of digits gives 242752400.

It is not an unprimeable number, because it can be changed into a prime (242752403) 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 11 ways as a sum of consecutive naturals, for example, 23186 + ... + 31985.

Almost surely, 2^242752400 is an apocalyptic number.

242752400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242752400 is an abundant number, since it is smaller than the sum of its proper divisors (393491104).

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

242752400 is a wasteful number, since it uses less digits than its factorization.

242752400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55200 (or 55189 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 26.

The square root of 242752400 is about 15580.5134703578. The cubic root of 242752400 is about 623.8131288992.

The spelling of 242752400 in words is "two hundred forty-two million, seven hundred fifty-two thousand, four hundred".