1326415400 has 48 divisors (see below), whose sum is σ = 3088342140. Its totient is φ = 529804800.

The previous prime is 1326415379. The next prime is 1326415421. The reversal of 1326415400 is 45146231.

It is an interprime number because it is at equal distance from previous prime (1326415379) and next prime (1326415421).

It can be written as a sum of positive squares in 6 ways, for example, as 255424324 + 1070991076 = 15982^2 + 32726^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1326415400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147020 + ... + 155780.

Almost surely, 2^1326415400 is an apocalyptic number.

1326415400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1326415400 is an abundant number, since it is smaller than the sum of its proper divisors (1761926740).

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

1326415400 is a wasteful number, since it uses less digits than its factorization.

1326415400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9534 (or 9525 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 1326415400 is about 36419.9862712769. The cubic root of 1326415400 is about 1098.7355719154.

The spelling of 1326415400 in words is "one billion, three hundred twenty-six million, four hundred fifteen thousand, four hundred".