742448512 has 128 divisors (see below), whose sum is σ = 1693036800. Its totient is φ = 321822720.

The previous prime is 742448479. The next prime is 742448513. The reversal of 742448512 is 215844247.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742448513) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1908414 + ... + 1908802.

It is an arithmetic number, because the mean of its divisors is an integer number (13226850).

Almost surely, 2^742448512 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 742448512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846518400).

742448512 is an abundant number, since it is smaller than the sum of its proper divisors (950588288).

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

742448512 is a wasteful number, since it uses less digits than its factorization.

742448512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 472 counting only the distinct ones).

The product of its digits is 71680, while the sum is 37.

The square root of 742448512 is about 27247.9083967926. The cubic root of 742448512 is about 905.5006791731.

The spelling of 742448512 in words is "seven hundred forty-two million, four hundred forty-eight thousand, five hundred twelve".