742404096 has 312 divisors, whose sum is σ = 2577216240. Its totient is φ = 210567168.

The previous prime is 742404079. The next prime is 742404107. The reversal of 742404096 is 690404247.

742404096 is a `hidden beast` number, since 7 + 4 + 240 + 409 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 742404096.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5418940 + ... + 5419076.

Almost surely, 2^742404096 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 742404096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288608120).

742404096 is an abundant number, since it is smaller than the sum of its proper divisors (1834812144).

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

742404096 is a wasteful number, since it uses less digits than its factorization.

742404096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 742404096 is about 27247.0933495667. The cubic root of 742404096 is about 905.4826220196.

The spelling of 742404096 in words is "seven hundred forty-two million, four hundred four thousand, ninety-six".