1413460800 has 168 divisors, whose sum is σ = 5152745600. Its totient is φ = 376911360.

The previous prime is 1413460799. The next prime is 1413460831. The reversal of 1413460800 is 80643141.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26841 + ... + 59559.

Almost surely, 2^1413460800 is an apocalyptic number.

1413460800 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 1413460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576372800).

1413460800 is an abundant number, since it is smaller than the sum of its proper divisors (3739284800).

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

1413460800 is a wasteful number, since it uses less digits than its factorization.

1413460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32750 (or 32729 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1413460800 is about 37596.0210660650. The cubic root of 1413460800 is about 1122.2628569993.

The spelling of 1413460800 in words is "one billion, four hundred thirteen million, four hundred sixty thousand, eight hundred".