1386532400 has 120 divisors (see below), whose sum is σ = 3656151408. Its totient is φ = 501120000.

The previous prime is 1386532351. The next prime is 1386532403. The reversal of 1386532400 is 42356831.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1386532403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 795530 + ... + 797270.

Almost surely, 2^1386532400 is an apocalyptic number.

1386532400 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 1386532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828075704).

1386532400 is an abundant number, since it is smaller than the sum of its proper divisors (2269619008).

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

1386532400 is a wasteful number, since it uses less digits than its factorization.

1386532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 1386532400 is about 37236.1705872126. The cubic root of 1386532400 is about 1115.0902217408.

Subtracting from 1386532400 its reverse (42356831), we obtain a square (1344175569 = 36663²).

The spelling of 1386532400 in words is "one billion, three hundred eighty-six million, five hundred thirty-two thousand, four hundred".