241410400 has 144 divisors (see below), whose sum is σ = 734952960. Its totient is φ = 75225600.

The previous prime is 241410373. The next prime is 241410401. The reversal of 241410400 is 4014142.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241410401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59641 + ... + 63559.

It is an arithmetic number, because the mean of its divisors is an integer number (5103840).

Almost surely, 2^241410400 is an apocalyptic number.

241410400 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 241410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367476480).

241410400 is an abundant number, since it is smaller than the sum of its proper divisors (493542560).

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

241410400 is a wasteful number, since it uses less digits than its factorization.

241410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3957 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 241410400 is about 15537.3871677319. The cubic root of 241410400 is about 622.6614689491.

Adding to 241410400 its reverse (4014142), we get a palindrome (245424542).

The spelling of 241410400 in words is "two hundred forty-one million, four hundred ten thousand, four hundred".