1023310400 has 84 divisors (see below), whose sum is σ = 2877726528. Its totient is φ = 350845440.

The previous prime is 1023310399. The next prime is 1023310429. The reversal of 1023310400 is 40133201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 34484 + ... + 56883.

Almost surely, 2^1023310400 is an apocalyptic number.

1023310400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023310400 is an abundant number, since it is smaller than the sum of its proper divisors (1854416128).

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

1023310400 is an equidigital number, since it uses as much as digits as its factorization.

1023310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91396 (or 91381 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1023310400 is about 31989.2231853166. The cubic root of 1023310400 is about 1007.7105282842.

Adding to 1023310400 its reverse (40133201), we get a palindrome (1063443601).

The spelling of 1023310400 in words is "one billion, twenty-three million, three hundred ten thousand, four hundred".