742139904 has 192 divisors, whose sum is σ = 2201472000. Its totient is φ = 220446720.

The previous prime is 742139903. The next prime is 742139911. The reversal of 742139904 is 409931247.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (742139903) 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, 5339067 + ... + 5339205.

It is an arithmetic number, because the mean of its divisors is an integer number (11466000).

Almost surely, 2^742139904 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 742139904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100736000).

742139904 is an abundant number, since it is smaller than the sum of its proper divisors (1459332096).

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

742139904 is a wasteful number, since it uses less digits than its factorization.

742139904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 742139904 is about 27242.2448414223. The cubic root of 742139904 is about 905.3752008958.

The spelling of 742139904 in words is "seven hundred forty-two million, one hundred thirty-nine thousand, nine hundred four".