1386748800 has 288 divisors, whose sum is σ = 4994379000. Its totient is φ = 366366720.

The previous prime is 1386748799. The next prime is 1386748819. The reversal of 1386748800 is 88476831.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5155066 + ... + 5155334.

Almost surely, 2^1386748800 is an apocalyptic number.

1386748800 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 1386748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497189500).

1386748800 is an abundant number, since it is smaller than the sum of its proper divisors (3607630200).

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

1386748800 is a wasteful number, since it uses less digits than its factorization.

1386748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1386748800 is about 37239.0762506268. The cubic root of 1386748800 is about 1115.1482304757.

The spelling of 1386748800 in words is "one billion, three hundred eighty-six million, seven hundred forty-eight thousand, eight hundred".