241956960 has 192 divisors, whose sum is σ = 880492032. Its totient is φ = 54706176.

The previous prime is 241956931. The next prime is 241956973. The reversal of 241956960 is 69659142.

It is a happy number.

It is a super-3 number, since 3×241956960³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359184 + ... + 359856.

It is an arithmetic number, because the mean of its divisors is an integer number (4585896).

Almost surely, 2^241956960 is an apocalyptic number.

241956960 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 241956960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440246016).

241956960 is an abundant number, since it is smaller than the sum of its proper divisors (638535072).

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

241956960 is a wasteful number, since it uses less digits than its factorization.

241956960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 241956960 is about 15554.9657665969. The cubic root of 241956960 is about 623.1310225147.

The spelling of 241956960 in words is "two hundred forty-one million, nine hundred fifty-six thousand, nine hundred sixty".