242691200 has 96 divisors (see below), whose sum is σ = 604732500. Its totient is φ = 96235520.

The previous prime is 242691191. The next prime is 242691263. The reversal of 242691200 is 2196242.

It can be written as a sum of positive squares in 6 ways, for example, as 76177984 + 166513216 = 8728^2 + 12904^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 242691200.

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, 476546 + ... + 477054.

Almost surely, 2^242691200 is an apocalyptic number.

242691200 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 242691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302366250).

242691200 is an abundant number, since it is smaller than the sum of its proper divisors (362041300).

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

242691200 is a wasteful number, since it uses less digits than its factorization.

242691200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 242691200 is about 15578.5493548019. The cubic root of 242691200 is about 623.7607015806.

The spelling of 242691200 in words is "two hundred forty-two million, six hundred ninety-one thousand, two hundred".