1302000400 has 60 divisors (see below), whose sum is σ = 3212634532. Its totient is φ = 506718720.

The previous prime is 1302000391. The next prime is 1302000419. The reversal of 1302000400 is 40002031.

It can be written as a sum of positive squares in 6 ways, for example, as 33500944 + 1268499456 = 5788^2 + 35616^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29187 + ... + 58786.

Almost surely, 2^1302000400 is an apocalyptic number.

1302000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1302000400 is an abundant number, since it is smaller than the sum of its proper divisors (1910634132).

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

1302000400 is a wasteful number, since it uses less digits than its factorization.

1302000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88028 (or 88017 counting only the distinct ones).

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

The square root of 1302000400 is about 36083.2426480770. The cubic root of 1302000400 is about 1091.9523967674.

Adding to 1302000400 its reverse (40002031), we get a palindrome (1342002431).

The spelling of 1302000400 in words is "one billion, three hundred two million, four hundred", and thus it is an aban number.