1023345200 has 60 divisors (see below), whose sum is σ = 2505027168. Its totient is φ = 401606400.

The previous prime is 1023345179. The next prime is 1023345217. The reversal of 1023345200 is 25433201.

It is a happy number.

1023345200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2936 + ... + 45335.

Almost surely, 2^1023345200 is an apocalyptic number.

1023345200 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 1023345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252513584).

1023345200 is an abundant number, since it is smaller than the sum of its proper divisors (1481681968).

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

1023345200 is a wasteful number, since it uses less digits than its factorization.

1023345200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48342 (or 48331 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 1023345200 is about 31989.7671138756. The cubic root of 1023345200 is about 1007.7219513183.

Adding to 1023345200 its reverse (25433201), we get a palindrome (1048778401).

The spelling of 1023345200 in words is "one billion, twenty-three million, three hundred forty-five thousand, two hundred".