1386995400 has 432 divisors, whose sum is σ = 5564495040. Its totient is φ = 314928000.

The previous prime is 1386995399. The next prime is 1386995411. The reversal of 1386995400 is 45996831.

It is a happy number.

1386995400 is a `hidden beast` number, since 13 + 8 + 6 + 99 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 107 ways as a sum of consecutive naturals, for example, 9185325 + ... + 9185475.

Almost surely, 2^1386995400 is an apocalyptic number.

1386995400 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 1386995400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782247520).

1386995400 is an abundant number, since it is smaller than the sum of its proper divisors (4177499640).

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

1386995400 is an equidigital number, since it uses as much as digits as its factorization.

1386995400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1386995400 is about 37242.3871415354. The cubic root of 1386995400 is about 1115.2143273431.

The spelling of 1386995400 in words is "one billion, three hundred eighty-six million, nine hundred ninety-five thousand, four hundred".