742827456 has 336 divisors, whose sum is σ = 2631521280. Its totient is φ = 204664320.

The previous prime is 742827443. The next prime is 742827467. The reversal of 742827456 is 654728247.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2624691 + ... + 2624973.

Almost surely, 2^742827456 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 742827456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315760640).

742827456 is an abundant number, since it is smaller than the sum of its proper divisors (1888693824).

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

742827456 is a wasteful number, since it uses less digits than its factorization.

742827456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 326 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 742827456 is about 27254.8611443904. The cubic root of 742827456 is about 905.6547081202.

The spelling of 742827456 in words is "seven hundred forty-two million, eight hundred twenty-seven thousand, four hundred fifty-six".