742254120 has 96 divisors (see below), whose sum is σ = 2422953000. Its totient is φ = 197062656.

The previous prime is 742254113. The next prime is 742254131. The reversal of 742254120 is 21452247.

742254120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 221592996 + 520661124 = 14886^2 + 22818^2 .

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, 79456 + ... + 88304.

Almost surely, 2^742254120 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 742254120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211476500).

742254120 is an abundant number, since it is smaller than the sum of its proper divisors (1680698880).

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

742254120 is a wasteful number, since it uses less digits than its factorization.

742254120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9099 (or 9092 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 742254120 is about 27244.3410637879. The cubic root of 742254120 is about 905.4216445331.

The spelling of 742254120 in words is "seven hundred forty-two million, two hundred fifty-four thousand, one hundred twenty".