1045200 has 120 divisors (see below), whose sum is σ = 3659488. Its totient is φ = 253440.

The previous prime is 1045199. The next prime is 1045223. The reversal of 1045200 is 25401.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 15567 + ... + 15633.

2^1045200 is an apocalyptic number.

1045200 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 1045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829744).

1045200 is an abundant number, since it is smaller than the sum of its proper divisors (2614288).

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

1045200 is a wasteful number, since it uses less digits than its factorization.

1045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 1045200 is about 1022.3502335306. The cubic root of 1045200 is about 101.4845196286.

The spelling of 1045200 in words is "one million, forty-five thousand, two hundred".