241603920 has 120 divisors (see below), whose sum is σ = 824837832. Its totient is φ = 63360000.

The previous prime is 241603919. The next prime is 241603933. The reversal of 241603920 is 29306142.

It can be written as a sum of positive squares in 4 ways, for example, as 27625536 + 213978384 = 5256^2 + 14628^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 41170 + ... + 46670.

Almost surely, 2^241603920 is an apocalyptic number.

241603920 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 241603920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412418916).

241603920 is an abundant number, since it is smaller than the sum of its proper divisors (583233912).

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

241603920 is a wasteful number, since it uses less digits than its factorization.

241603920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5581 (or 5572 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 241603920 is about 15543.6134794970. The cubic root of 241603920 is about 622.8278043183.

The spelling of 241603920 in words is "two hundred forty-one million, six hundred three thousand, nine hundred twenty".