743242240 has 160 divisors (see below), whose sum is σ = 2004621696. Its totient is φ = 262225920.

The previous prime is 743242231. The next prime is 743242243. The reversal of 743242240 is 42242347.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 743242199 and 743242208.

It is not an unprimeable number, because it can be changed into a prime (743242243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 764955 + ... + 765925.

Almost surely, 2^743242240 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 743242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002310848).

743242240 is an abundant number, since it is smaller than the sum of its proper divisors (1261379456).

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

743242240 is a wasteful number, since it uses less digits than its factorization.

743242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 28.

The square root of 743242240 is about 27262.4694406064. The cubic root of 743242240 is about 905.8232448742.

Adding to 743242240 its reverse (42242347), we get a palindrome (785484587).

The spelling of 743242240 in words is "seven hundred forty-three million, two hundred forty-two thousand, two hundred forty".