741630240 has 288 divisors, whose sum is σ = 2753215920. Its totient is φ = 180707328.

The previous prime is 741630233. The next prime is 741630247. The reversal of 741630240 is 42036147.

741630240 is a `hidden beast` number, since 7 + 4 + 1 + 630 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (741630233) and next prime (741630247).

It can be written as a sum of positive squares in 8 ways, for example, as 538054416 + 203575824 = 23196^2 + 14268^2 .

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

It is not an unprimeable number, because it can be changed into a prime (741630247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3238446 + ... + 3238674.

Almost surely, 2^741630240 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 741630240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376607960).

741630240 is an abundant number, since it is smaller than the sum of its proper divisors (2011585680).

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

741630240 is a wasteful number, since it uses less digits than its factorization.

741630240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 741630240 is about 27232.8889396626. Note that the first 3 decimals coincide. The cubic root of 741630240 is about 905.1678981960.

Adding to 741630240 its reverse (42036147), we get a palindrome (783666387).

The spelling of 741630240 in words is "seven hundred forty-one million, six hundred thirty thousand, two hundred forty".