742813456 has 80 divisors (see below), whose sum is σ = 1821312000. Its totient is φ = 285056640.

The previous prime is 742813447. The next prime is 742813457. The reversal of 742813456 is 654318247.

It is not an unprimeable number, because it can be changed into a prime (742813457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78045 + ... + 87043.

It is an arithmetic number, because the mean of its divisors is an integer number (22766400).

Almost surely, 2^742813456 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 742813456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910656000).

742813456 is an abundant number, since it is smaller than the sum of its proper divisors (1078498544).

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

742813456 is a wasteful number, since it uses less digits than its factorization.

742813456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9092 (or 9086 counting only the distinct ones).

The product of its digits is 161280, while the sum is 40.

The square root of 742813456 is about 27254.6043082632. The cubic root of 742813456 is about 905.6490184877.

The spelling of 742813456 in words is "seven hundred forty-two million, eight hundred thirteen thousand, four hundred fifty-six".