1049395200 has 384 divisors, whose sum is σ = 4030664640. Its totient is φ = 235929600.

The previous prime is 1049395183. The next prime is 1049395201. The reversal of 1049395200 is 25939401.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1049395200² = 2202460571566080000, which contains 22 as substring.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (1049395201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17203170 + ... + 17203230.

Almost surely, 2^1049395200 is an apocalyptic number.

1049395200 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 1049395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015332320).

1049395200 is an abundant number, since it is smaller than the sum of its proper divisors (2981269440).

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

1049395200 is an frugal number, since it uses more digits than its factorization.

1049395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 1049395200 is about 32394.3698812000. The cubic root of 1049395200 is about 1016.2011712339.

The spelling of 1049395200 in words is "one billion, forty-nine million, three hundred ninety-five thousand, two hundred".