1393984800 has 432 divisors, whose sum is σ = 5412731688. Its totient is φ = 335462400.

The previous prime is 1393984763. The next prime is 1393984811. The reversal of 1393984800 is 84893931.

1393984800 is a `hidden beast` number, since 139 + 39 + 8 + 480 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 91929744 + 1302055056 = 9588^2 + 36084^2 .

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 (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4960660 + ... + 4960940.

Almost surely, 2^1393984800 is an apocalyptic number.

1393984800 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 1393984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2706365844).

1393984800 is an abundant number, since it is smaller than the sum of its proper divisors (4018746888).

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

1393984800 is a wasteful number, since it uses less digits than its factorization.

1393984800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1393984800 is about 37336.1058494321. The cubic root of 1393984800 is about 1117.0844663191.

The spelling of 1393984800 in words is "one billion, three hundred ninety-three million, nine hundred eighty-four thousand, eight hundred".