241893000 has 384 divisors, whose sum is σ = 919526400. Its totient is φ = 58752000.

The previous prime is 241892977. The next prime is 241893049. The reversal of 241893000 is 398142.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7802985 + ... + 7803015.

It is an arithmetic number, because the mean of its divisors is an integer number (2394600).

Almost surely, 2^241893000 is an apocalyptic number.

241893000 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 241893000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459763200).

241893000 is an abundant number, since it is smaller than the sum of its proper divisors (677633400).

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

241893000 is a wasteful number, since it uses less digits than its factorization.

241893000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 241893000 is about 15552.9096956164. The cubic root of 241893000 is about 623.0761105825.

The spelling of 241893000 in words is "two hundred forty-one million, eight hundred ninety-three thousand".