1023326400 has 84 divisors (see below), whose sum is σ = 3357379112. Its totient is φ = 272885760.

The previous prime is 1023326383. The next prime is 1023326413. The reversal of 1023326400 is 46233201.

It is a happy number.

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, 101797 + ... + 111396.

Almost surely, 2^1023326400 is an apocalyptic number.

1023326400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023326400 is an abundant number, since it is smaller than the sum of its proper divisors (2334052712).

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

1023326400 is a wasteful number, since it uses less digits than its factorization.

1023326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213218 (or 213203 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1023326400 is about 31989.4732685613. The cubic root of 1023326400 is about 1007.7157802860.

Adding to 1023326400 its reverse (46233201), we get a palindrome (1069559601).

The spelling of 1023326400 in words is "one billion, twenty-three million, three hundred twenty-six thousand, four hundred".