1413820800 has 288 divisors, whose sum is σ = 5766349680. Its totient is φ = 323112960.

The previous prime is 1413820763. The next prime is 1413820819. The reversal of 1413820800 is 80283141.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 198094 + ... + 205106.

Almost surely, 2^1413820800 is an apocalyptic number.

1413820800 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 1413820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883174840).

1413820800 is an abundant number, since it is smaller than the sum of its proper divisors (4352528880).

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

1413820800 is a wasteful number, since it uses less digits than its factorization.

1413820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7050 (or 7030 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1413820800 is about 37600.8085019458. The cubic root of 1413820800 is about 1122.3581267875.

The spelling of 1413820800 in words is "one billion, four hundred thirteen million, eight hundred twenty thousand, eight hundred".