1386444600 has 360 divisors, whose sum is σ = 5108411880. Its totient is φ = 347846400.

The previous prime is 1386444593. The next prime is 1386444613. The reversal of 1386444600 is 64446831.

1386444600 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 4 + 44 + 600 = 666.

1386444600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 22728570 + ... + 22728630.

It is an arithmetic number, because the mean of its divisors is an integer number (14190033).

Almost surely, 2^1386444600 is an apocalyptic number.

1386444600 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 1386444600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554205940).

1386444600 is an abundant number, since it is smaller than the sum of its proper divisors (3721967280).

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

1386444600 is a wasteful number, since it uses less digits than its factorization.

1386444600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1386444600 is about 37234.9916073577. The cubic root of 1386444600 is about 1115.0666841280.

The spelling of 1386444600 in words is "one billion, three hundred eighty-six million, four hundred forty-four thousand, six hundred".