742948480 has 64 divisors (see below), whose sum is σ = 1833454080. Its totient is φ = 287585280.

The previous prime is 742948471. The next prime is 742948483. The reversal of 742948480 is 84849247.

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 742948480.

It is not an unprimeable number, because it can be changed into a prime (742948483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1117 + ... + 38563.

It is an arithmetic number, because the mean of its divisors is an integer number (28647720).

Almost surely, 2^742948480 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 742948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916727040).

742948480 is an abundant number, since it is smaller than the sum of its proper divisors (1090505600).

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

742948480 is a wasteful number, since it uses less digits than its factorization.

742948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37497 (or 37485 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The square root of 742948480 is about 27257.0812817514. The cubic root of 742948480 is about 905.7038895744.

The spelling of 742948480 in words is "seven hundred forty-two million, nine hundred forty-eight thousand, four hundred eighty".