1380290400 has 108 divisors (see below), whose sum is σ = 4867274412. Its totient is φ = 368075520.

The previous prime is 1380290393. The next prime is 1380290413. The reversal of 1380290400 is 40920831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 88654 + ... + 103053.

Almost surely, 2^1380290400 is an apocalyptic number.

1380290400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1380290400 is an abundant number, since it is smaller than the sum of its proper divisors (3486984012).

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

1380290400 is a wasteful number, since it uses less digits than its factorization.

1380290400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191733 (or 191717 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1380290400 is about 37152.2596890149. The cubic root of 1380290400 is about 1113.4143709364.

The spelling of 1380290400 in words is "one billion, three hundred eighty million, two hundred ninety thousand, four hundred".