742970240 has 64 divisors (see below), whose sum is σ = 1805375520. Its totient is φ = 292300800.

The previous prime is 742970237. The next prime is 742970257. The reversal of 742970240 is 42079247.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 742970240.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 29525 + ... + 48555.

Almost surely, 2^742970240 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 742970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902687760).

742970240 is an abundant number, since it is smaller than the sum of its proper divisors (1062405280).

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

742970240 is a wasteful number, since it uses less digits than its factorization.

742970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19111 (or 19099 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 742970240 is about 27257.4804411560. The cubic root of 742970240 is about 905.7127317865.

The spelling of 742970240 in words is "seven hundred forty-two million, nine hundred seventy thousand, two hundred forty".