241253200 has 30 divisors (see below), whose sum is σ = 579611774. Its totient is φ = 96501120.

The previous prime is 241253179. The next prime is 241253227. The reversal of 241253200 is 2352142.

It can be written as a sum of positive squares in 3 ways, for example, as 506944 + 240746256 = 712^2 + 15516^2 .

It is a congruent 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 5 ways as a sum of consecutive naturals, for example, 301167 + ... + 301966.

Almost surely, 2^241253200 is an apocalyptic number.

241253200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241253200 is an abundant number, since it is smaller than the sum of its proper divisors (338358574).

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

241253200 is a wasteful number, since it uses less digits than its factorization.

241253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603151 (or 603140 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 241253200 is about 15532.3275783123. The cubic root of 241253200 is about 622.5262861004.

The spelling of 241253200 in words is "two hundred forty-one million, two hundred fifty-three thousand, two hundred".