1413199200 has 432 divisors, whose sum is σ = 5466306384. Its totient is φ = 316108800.

The previous prime is 1413199199. The next prime is 1413199217. The reversal of 1413199200 is 29913141.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7173502 + ... + 7173698.

It is an arithmetic number, because the mean of its divisors is an integer number (12653487).

Almost surely, 2^1413199200 is an apocalyptic number.

1413199200 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 1413199200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733153192).

1413199200 is an abundant number, since it is smaller than the sum of its proper divisors (4053107184).

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

1413199200 is a wasteful number, since it uses less digits than its factorization.

1413199200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 1413199200 is about 37592.5418135034. The cubic root of 1413199200 is about 1122.1936174710.

The spelling of 1413199200 in words is "one billion, four hundred thirteen million, one hundred ninety-nine thousand, two hundred".