741430368 has 288 divisors, whose sum is σ = 2557941120. Its totient is φ = 208293120.

The previous prime is 741430363. The next prime is 741430373. The reversal of 741430368 is 863034147.

It is an interprime number because it is at equal distance from previous prime (741430363) and next prime (741430373).

It is a tau number, because it is divible by the number of its divisors (288).

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 (741430363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3513783 + ... + 3513993.

It is an arithmetic number, because the mean of its divisors is an integer number (8881740).

Almost surely, 2^741430368 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 741430368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278970560).

741430368 is an abundant number, since it is smaller than the sum of its proper divisors (1816510752).

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

741430368 is a wasteful number, since it uses less digits than its factorization.

741430368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 741430368 is about 27229.2190119364. The cubic root of 741430368 is about 905.0865755622.

The spelling of 741430368 in words is "seven hundred forty-one million, four hundred thirty thousand, three hundred sixty-eight".