1023032400 has 120 divisors (see below), whose sum is σ = 3529253280. Its totient is φ = 251819520.

The previous prime is 1023032377. The next prime is 1023032441. The reversal of 1023032400 is 42303201.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1023032400.

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, 17190 + ... + 48389.

It is an arithmetic number, because the mean of its divisors is an integer number (29410444).

Almost surely, 2^1023032400 is an apocalyptic number.

1023032400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023032400 is an abundant number, since it is smaller than the sum of its proper divisors (2506220880).

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

1023032400 is a wasteful number, since it uses less digits than its factorization.

1023032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65613 (or 65602 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1023032400 is about 31984.8776768022. The cubic root of 1023032400 is about 1007.6192660112.

Adding to 1023032400 its reverse (42303201), we get a palindrome (1065335601).

The spelling of 1023032400 in words is "one billion, twenty-three million, thirty-two thousand, four hundred".