242753900 has 36 divisors (see below), whose sum is σ = 531632640. Its totient is φ = 96206400.

The previous prime is 242753887. The next prime is 242753923. The reversal of 242753900 is 9357242.

It is a happy number.

It is an unprimeable number.

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, 236 + ... + 22035.

Almost surely, 2^242753900 is an apocalyptic number.

242753900 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 242753900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265816320).

242753900 is an abundant number, since it is smaller than the sum of its proper divisors (288878740).

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

242753900 is a wasteful number, since it uses less digits than its factorization.

242753900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22394 (or 22387 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 242753900 is about 15580.5616073362. The cubic root of 242753900 is about 623.8144137719.

The spelling of 242753900 in words is "two hundred forty-two million, seven hundred fifty-three thousand, nine hundred".