241144464 has 80 divisors (see below), whose sum is σ = 684152640. Its totient is φ = 72583680.

The previous prime is 241144441. The next prime is 241144487. The reversal of 241144464 is 464441142.

241144464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (241144441) and next prime (241144487).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81442 + ... + 84350.

It is an arithmetic number, because the mean of its divisors is an integer number (8551908).

Almost surely, 2^241144464 is an apocalyptic number.

241144464 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 241144464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342076320).

241144464 is an abundant number, since it is smaller than the sum of its proper divisors (443008176).

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

241144464 is a wasteful number, since it uses less digits than its factorization.

241144464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088 (or 3082 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 241144464 is about 15528.8268713383. The cubic root of 241144464 is about 622.4327451090.

The spelling of 241144464 in words is "two hundred forty-one million, one hundred forty-four thousand, four hundred sixty-four".