741309408 has 144 divisors (see below), whose sum is σ = 2498670720. Its totient is φ = 211787136.

The previous prime is 741309403. The next prime is 741309473. The reversal of 741309408 is 804903147.

It is a happy number.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (741309403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47623 + ... + 61241.

It is an arithmetic number, because the mean of its divisors is an integer number (17351880).

Almost surely, 2^741309408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 741309408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249335360).

741309408 is an abundant number, since it is smaller than the sum of its proper divisors (1757361312).

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

741309408 is a wasteful number, since it uses less digits than its factorization.

741309408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13651 (or 13631 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 741309408 is about 27226.9977779409. The cubic root of 741309408 is about 905.0373530364.

It can be divided in two parts, 74130 and 9408, that added together give a palindrome (83538).

The spelling of 741309408 in words is "seven hundred forty-one million, three hundred nine thousand, four hundred eight".