241993440 has 384 divisors, whose sum is σ = 948326400. Its totient is φ = 57231360.

The previous prime is 241993393. The next prime is 241993463. The reversal of 241993440 is 44399142.

241993440 is a `hidden beast` number, since 24 + 199 + 3 + 440 = 666.

It is a super-3 number, since 3×241993440³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 241993395 and 241993404.

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 63 ways as a sum of consecutive naturals, for example, 1740891 + ... + 1741029.

It is an arithmetic number, because the mean of its divisors is an integer number (2469600).

Almost surely, 2^241993440 is an apocalyptic number.

241993440 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 241993440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474163200).

241993440 is an abundant number, since it is smaller than the sum of its proper divisors (706332960).

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

241993440 is a wasteful number, since it uses less digits than its factorization.

241993440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 241993440 is about 15556.1383382895. The cubic root of 241993440 is about 623.1623375571.

It can be divided in two parts, 2419 and 93440, that added together give a palindrome (95859).

The spelling of 241993440 in words is "two hundred forty-one million, nine hundred ninety-three thousand, four hundred forty".