1045167200 has 432 divisors, whose sum is σ = 3428780544. Its totient is φ = 302054400.

The previous prime is 1045167197. The next prime is 1045167209. The reversal of 1045167200 is 27615401.

It is a self number, because there is not a number n which added to its sum of digits gives 1045167200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045167209) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 22237577 + ... + 22237623.

It is an arithmetic number, because the mean of its divisors is an integer number (7936992).

Almost surely, 2^1045167200 is an apocalyptic number.

1045167200 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 1045167200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714390272).

1045167200 is an abundant number, since it is smaller than the sum of its proper divisors (2383613344).

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

1045167200 is a wasteful number, since it uses less digits than its factorization.

1045167200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 1045167200 is about 32329.0457638329. The cubic root of 1045167200 is about 1014.8345803691.

The spelling of 1045167200 in words is "one billion, forty-five million, one hundred sixty-seven thousand, two hundred".