742301000 has 96 divisors (see below), whose sum is σ = 2020707000. Its totient is φ = 254486400.

The previous prime is 742300969. The next prime is 742301003. The reversal of 742301000 is 103247.

It is a happy number.

742301000 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 291248356 + 451052644 = 17066^2 + 21238^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 742301000.

It is not an unprimeable number, because it can be changed into a prime (742301003) 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, 41426 + ... + 56574.

Almost surely, 2^742301000 is an apocalyptic number.

742301000 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 742301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010353500).

742301000 is an abundant number, since it is smaller than the sum of its proper divisors (1278406000).

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

742301000 is a wasteful number, since it uses less digits than its factorization.

742301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15184 (or 15163 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 742301000 is about 27245.2014123588. The cubic root of 742301000 is about 905.4407059623.

Adding to 742301000 its reverse (103247), we get a palindrome (742404247).

The spelling of 742301000 in words is "seven hundred forty-two million, three hundred one thousand".