241274880 has 624 divisors, whose sum is σ = 1104015744. Its totient is φ = 47185920.

The previous prime is 241274857. The next prime is 241274881. The reversal of 241274880 is 88472142.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241274881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14192632 + ... + 14192648.

It is an arithmetic number, because the mean of its divisors is an integer number (1769256).

Almost surely, 2^241274880 is an apocalyptic number.

241274880 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 241274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552007872).

241274880 is an abundant number, since it is smaller than the sum of its proper divisors (862740864).

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

241274880 is a wasteful number, since it uses less digits than its factorization.

241274880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 241274880 is about 15533.0254618989. The cubic root of 241274880 is about 622.5449331286.

The spelling of 241274880 in words is "two hundred forty-one million, two hundred seventy-four thousand, eight hundred eighty".