1100432400 has 120 divisors (see below), whose sum is σ = 3532482240. Its totient is φ = 292830720.

The previous prime is 1100432383. The next prime is 1100432407. The reversal of 1100432400 is 42340011.

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 1100432400.

It is not an unprimeable number, because it can be changed into a prime (1100432407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1006254 + ... + 1007346.

It is an arithmetic number, because the mean of its divisors is an integer number (29437352).

Almost surely, 2^1100432400 is an apocalyptic number.

1100432400 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 1100432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766241120).

1100432400 is an abundant number, since it is smaller than the sum of its proper divisors (2432049840).

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

1100432400 is a wasteful number, since it uses less digits than its factorization.

1100432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1100432400 is about 33172.7659383417. The cubic root of 1100432400 is about 1032.4153577134.

Adding to 1100432400 its reverse (42340011), we get a palindrome (1142772411).

The spelling of 1100432400 in words is "one billion, one hundred million, four hundred thirty-two thousand, four hundred".