241474464 has 144 divisors (see below), whose sum is σ = 856215360. Its totient is φ = 62714880.

The previous prime is 241474463. The next prime is 241474489. The reversal of 241474464 is 464474142.

It is a tau number, because it is divible by the number of its divisors (144).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241474463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16732 + ... + 27620.

It is an arithmetic number, because the mean of its divisors is an integer number (5945940).

Almost surely, 2^241474464 is an apocalyptic number.

241474464 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 241474464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428107680).

241474464 is an abundant number, since it is smaller than the sum of its proper divisors (614740896).

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

241474464 is a wasteful number, since it uses less digits than its factorization.

241474464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10923 (or 10912 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 241474464 is about 15539.4486388675. The cubic root of 241474464 is about 622.7165434285.

The spelling of 241474464 in words is "two hundred forty-one million, four hundred seventy-four thousand, four hundred sixty-four".