742483584 has 224 divisors, whose sum is σ = 2268740100. Its totient is φ = 241864704.

The previous prime is 742483583. The next prime is 742483589. The reversal of 742483584 is 485384247.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 729000000 + 13483584 = 27000^2 + 3672^2 .

It is not an unprimeable number, because it can be changed into a prime (742483583) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6811722 + ... + 6811830.

Almost surely, 2^742483584 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 742483584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134370050).

742483584 is an abundant number, since it is smaller than the sum of its proper divisors (1526256516).

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

742483584 is an equidigital number, since it uses as much as digits as its factorization.

742483584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 187 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 742483584 is about 27248.5519615263. The cubic root of 742483584 is about 905.5149370506.

The spelling of 742483584 in words is "seven hundred forty-two million, four hundred eighty-three thousand, five hundred eighty-four".