742302960 has 480 divisors, whose sum is σ = 2931240960. Its totient is φ = 154312704.

The previous prime is 742302959. The next prime is 742302997. The reversal of 742302960 is 69203247.

742302960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9396201 + ... + 9396279.

It is an arithmetic number, because the mean of its divisors is an integer number (6106752).

Almost surely, 2^742302960 is an apocalyptic number.

742302960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742302960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465620480).

742302960 is an abundant number, since it is smaller than the sum of its proper divisors (2188938000).

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

742302960 is a wasteful number, since it uses less digits than its factorization.

742302960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 742302960 is about 27245.2373819719. The cubic root of 742302960 is about 905.4415028817.

The spelling of 742302960 in words is "seven hundred forty-two million, three hundred two thousand, nine hundred sixty".