742794048 has 168 divisors, whose sum is σ = 2216725056. Its totient is φ = 237619200.

The previous prime is 742794029. The next prime is 742794049. The reversal of 742794048 is 840497247.

It is a junction number, because it is equal to n+sod(n) for n = 742793994 and 742794012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742794049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1676515 + ... + 1676957.

It is an arithmetic number, because the mean of its divisors is an integer number (13194792).

Almost surely, 2^742794048 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 742794048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108362528).

742794048 is an abundant number, since it is smaller than the sum of its proper divisors (1473931008).

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

742794048 is a wasteful number, since it uses less digits than its factorization.

742794048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 742794048 is about 27254.2482560059. The cubic root of 742794048 is about 905.6411309133.

It can be divided in two parts, 7427 and 94048, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 742794048 in words is "seven hundred forty-two million, seven hundred ninety-four thousand, forty-eight".