1023405200 has 60 divisors (see below), whose sum is σ = 2525219700. Its totient is φ = 398292480.

The previous prime is 1023405199. The next prime is 1023405233. The reversal of 1023405200 is 25043201.

1023405200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 173056 + 1023232144 = 416^2 + 31988^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19775 + ... + 49374.

It is an arithmetic number, because the mean of its divisors is an integer number (42086995).

Almost surely, 2^1023405200 is an apocalyptic number.

1023405200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023405200 is an abundant number, since it is smaller than the sum of its proper divisors (1501814500).

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

1023405200 is a wasteful number, since it uses less digits than its factorization.

1023405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69204 (or 69193 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 1023405200 is about 31990.7049000174. The cubic root of 1023405200 is about 1007.7416455966.

Adding to 1023405200 its reverse (25043201), we get a palindrome (1048448401).

The spelling of 1023405200 in words is "one billion, twenty-three million, four hundred five thousand, two hundred".