241267920 has 160 divisors (see below), whose sum is σ = 776950272. Its totient is φ = 61894656.

The previous prime is 241267889. The next prime is 241267931. The reversal of 241267920 is 29762142.

It is a super-2 number, since 2×241267920² = 116420418442252800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 823294 + ... + 823586.

Almost surely, 2^241267920 is an apocalyptic number.

241267920 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 241267920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388475136).

241267920 is an abundant number, since it is smaller than the sum of its proper divisors (535682352).

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

241267920 is a wasteful number, since it uses less digits than its factorization.

241267920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 241267920 is about 15532.8014215080. The cubic root of 241267920 is about 622.5389469350.

The spelling of 241267920 in words is "two hundred forty-one million, two hundred sixty-seven thousand, nine hundred twenty".