742848480 has 288 divisors, whose sum is σ = 2887073280. Its totient is φ = 172170240.

The previous prime is 742848479. The next prime is 742848487. The reversal of 742848480 is 84848247.

It is a happy number.

742848480 is a `hidden beast` number, since 74 + 28 + 484 + 80 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742848487) 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, 363301 + ... + 365339.

It is an arithmetic number, because the mean of its divisors is an integer number (10024560).

Almost surely, 2^742848480 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 742848480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443536640).

742848480 is an abundant number, since it is smaller than the sum of its proper divisors (2144224800).

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

742848480 is a wasteful number, since it uses less digits than its factorization.

742848480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 742848480 is about 27255.2468343253. The cubic root of 742848480 is about 905.6632521882.

The spelling of 742848480 in words is "seven hundred forty-two million, eight hundred forty-eight thousand, four hundred eighty".