1145004400 has 120 divisors (see below), whose sum is σ = 3039742944. Its totient is φ = 412262400.

The previous prime is 1145004389. The next prime is 1145004403. The reversal of 1145004400 is 44005411.

It is a super-2 number, since 2×1145004400² = 2622070152038720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145004403) 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, 152740 + ... + 160060.

Almost surely, 2^1145004400 is an apocalyptic number.

1145004400 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 1145004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519871472).

1145004400 is an abundant number, since it is smaller than the sum of its proper divisors (1894738544).

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

1145004400 is a wasteful number, since it uses less digits than its factorization.

1145004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7379 (or 7368 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 1145004400 is about 33837.9136472685. The cubic root of 1145004400 is about 1046.1702966870.

Adding to 1145004400 its reverse (44005411), we get a palindrome (1189009811).

The spelling of 1145004400 in words is "one billion, one hundred forty-five million, four thousand, four hundred".