1386915400 has 144 divisors (see below), whose sum is σ = 3589307100. Its totient is φ = 497802240.

The previous prime is 1386915359. The next prime is 1386915427. The reversal of 1386915400 is 45196831.

It can be written as a sum of positive squares in 18 ways, for example, as 486555364 + 900360036 = 22058^2 + 30006^2 .

It is a super-3 number, since 3×1386915400³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 1386915400.

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 35 ways as a sum of consecutive naturals, for example, 1250046 + ... + 1251154.

Almost surely, 2^1386915400 is an apocalyptic number.

1386915400 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 1386915400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794653550).

1386915400 is an abundant number, since it is smaller than the sum of its proper divisors (2202391700).

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

1386915400 is a wasteful number, since it uses less digits than its factorization.

1386915400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 1386915400 is about 37241.3130810394. The cubic root of 1386915400 is about 1115.1928855846.

The spelling of 1386915400 in words is "one billion, three hundred eighty-six million, nine hundred fifteen thousand, four hundred".