1049563200 has 168 divisors, whose sum is σ = 3935488192. Its totient is φ = 239892480.

The previous prime is 1049563171. The next prime is 1049563219. The reversal of 1049563200 is 23659401.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×1049563200² = 2203165821588480000, which contains 22 as substring.

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

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, 17982 + ... + 49218.

Almost surely, 2^1049563200 is an apocalyptic number.

1049563200 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 1049563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967744096).

1049563200 is an abundant number, since it is smaller than the sum of its proper divisors (2885924992).

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

1049563200 is a wasteful number, since it uses less digits than its factorization.

1049563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31269 (or 31254 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 1049563200 is about 32396.9628206102. The cubic root of 1049563200 is about 1016.2553969718.

The spelling of 1049563200 in words is "one billion, forty-nine million, five hundred sixty-three thousand, two hundred".