241457920 has 108 divisors (see below), whose sum is σ = 636133680. Its totient is φ = 87746560.

The previous prime is 241457917. The next prime is 241457921. The reversal of 241457920 is 29754142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241457921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154101 + ... + 155659.

Almost surely, 2^241457920 is an apocalyptic number.

241457920 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 241457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318066840).

241457920 is an abundant number, since it is smaller than the sum of its proper divisors (394675760).

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

241457920 is a wasteful number, since it uses less digits than its factorization.

241457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 241457920 is about 15538.9163071303. The cubic root of 241457920 is about 622.7023218311.

The spelling of 241457920 in words is "two hundred forty-one million, four hundred fifty-seven thousand, nine hundred twenty".