241227864 has 192 divisors, whose sum is σ = 728432640. Its totient is φ = 71850240.

The previous prime is 241227863. The next prime is 241227869. The reversal of 241227864 is 468722142.

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 (241227863) 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, 1899369 + ... + 1899495.

It is an arithmetic number, because the mean of its divisors is an integer number (3793920).

Almost surely, 2^241227864 is an apocalyptic number.

241227864 is a gapful number since it is divisible by the number (24) 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 241227864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364216320).

241227864 is an abundant number, since it is smaller than the sum of its proper divisors (487204776).

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

241227864 is a wasteful number, since it uses less digits than its factorization.

241227864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 223 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 241227864 is about 15531.5119676096. The cubic root of 241227864 is about 622.5044931209.

It can be divided in two parts, 2412 and 27864, that added together give a square (30276 = 174²).

The spelling of 241227864 in words is "two hundred forty-one million, two hundred twenty-seven thousand, eight hundred sixty-four".