1090399200 has 288 divisors, whose sum is σ = 3919249152. Its totient is φ = 261120000.

The previous prime is 1090399199. The next prime is 1090399273. The reversal of 1090399200 is 29930901.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2719000 + ... + 2719400.

It is an arithmetic number, because the mean of its divisors is an integer number (13608504).

Almost surely, 2^1090399200 is an apocalyptic number.

1090399200 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 1090399200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959624576).

1090399200 is an abundant number, since it is smaller than the sum of its proper divisors (2828849952).

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

1090399200 is a wasteful number, since it uses less digits than its factorization.

1090399200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 33.

The square root of 1090399200 is about 33021.1931946742. The cubic root of 1090399200 is about 1029.2680884457.

The spelling of 1090399200 in words is "one billion, ninety million, three hundred ninety-nine thousand, two hundred".