1319049900 has 288 divisors, whose sum is σ = 4901352960. Its totient is φ = 298080000.

The previous prime is 1319049869. The next prime is 1319049923. The reversal of 1319049900 is 99409131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1908555 + ... + 1909245.

Almost surely, 2^1319049900 is an apocalyptic number.

1319049900 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 1319049900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450676480).

1319049900 is an abundant number, since it is smaller than the sum of its proper divisors (3582303060).

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

1319049900 is a wasteful number, since it uses less digits than its factorization.

1319049900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 1319049900 is about 36318.7265745923. The cubic root of 1319049900 is about 1096.6980597048.

The spelling of 1319049900 in words is "one billion, three hundred nineteen million, forty-nine thousand, nine hundred".