1002030400 has 126 divisors (see below), whose sum is σ = 2868395838. Its totient is φ = 343526400.

The previous prime is 1002030383. The next prime is 1002030427. The reversal of 1002030400 is 40302001.

1002030400 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 3 ways, for example, as 134374464 + 867655936 = 11592^2 + 29456^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 72010 + ... + 84790.

Almost surely, 2^1002030400 is an apocalyptic number.

1002030400 is a gapful number since it is divisible by the number (10) 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 1002030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434197919).

1002030400 is an abundant number, since it is smaller than the sum of its proper divisors (1866365438).

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

1002030400 is a wasteful number, since it uses less digits than its factorization.

1002030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12817 (or 12795 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 1002030400 is about 31654.8637653047. The cubic root of 1002030400 is about 1000.6763424578.

Adding to 1002030400 its reverse (40302001), we get a palindrome (1042332401).

The spelling of 1002030400 in words is "one billion, two million, thirty thousand, four hundred".