1002401300 has 36 divisors (see below), whose sum is σ = 2177477820. Its totient is φ = 400542720.

The previous prime is 1002401293. The next prime is 1002401303. The reversal of 1002401300 is 31042001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 139334416 + 863066884 = 11804^2 + 29378^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002401303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102212 + ... + 111588.

It is an arithmetic number, because the mean of its divisors is an integer number (60485495).

Almost surely, 2^1002401300 is an apocalyptic number.

1002401300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002401300 is an abundant number, since it is smaller than the sum of its proper divisors (1175076520).

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

1002401300 is a wasteful number, since it uses less digits than its factorization.

1002401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10460 (or 10453 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1002401300 is about 31660.7217226645. The cubic root of 1002401300 is about 1000.7997934932.

Adding to 1002401300 its reverse (31042001), we get a palindrome (1033443301).

The spelling of 1002401300 in words is "one billion, two million, four hundred one thousand, three hundred".