1413384000 has 448 divisors, whose sum is σ = 5477621760. Its totient is φ = 314419200.

The previous prime is 1413383981. The next prime is 1413384013. The reversal of 1413384000 is 4833141.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 7895911 + ... + 7896089.

Almost surely, 2^1413384000 is an apocalyptic number.

1413384000 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 1413384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738810880).

1413384000 is an abundant number, since it is smaller than the sum of its proper divisors (4064237760).

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

1413384000 is a wasteful number, since it uses less digits than its factorization.

1413384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1413384000 is about 37594.9996675090. Note that the first 3 decimals coincide. The cubic root of 1413384000 is about 1122.2425306843.

The spelling of 1413384000 in words is "one billion, four hundred thirteen million, three hundred eighty-four thousand".