1413708800 has 330 divisors, whose sum is σ = 4265833368. Its totient is φ = 463626240.

The previous prime is 1413708799. The next prime is 1413708809. The reversal of 1413708800 is 88073141.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413708809) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 61465589 + ... + 61465611.

Almost surely, 2^1413708800 is an apocalyptic number.

1413708800 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 1413708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132916684).

1413708800 is an abundant number, since it is smaller than the sum of its proper divisors (2852124568).

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

1413708800 is an frugal number, since it uses more digits than its factorization.

1413708800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 1413708800 is about 37599.3191427717. The cubic root of 1413708800 is about 1122.3284890311.

The spelling of 1413708800 in words is "one billion, four hundred thirteen million, seven hundred eight thousand, eight hundred".