1153440200 has 192 divisors, whose sum is σ = 3073464000. Its totient is φ = 398720000.

The previous prime is 1153440139. The next prime is 1153440203. The reversal of 1153440200 is 20443511.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1153440203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6443711 + ... + 6443889.

It is an arithmetic number, because the mean of its divisors is an integer number (16007625).

Almost surely, 2^1153440200 is an apocalyptic number.

1153440200 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 1153440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536732000).

1153440200 is an abundant number, since it is smaller than the sum of its proper divisors (1920023800).

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

1153440200 is a wasteful number, since it uses less digits than its factorization.

1153440200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1153440200 is about 33962.3350198422. The cubic root of 1153440200 is about 1048.7332266611.

Adding to 1153440200 its reverse (20443511), we get a palindrome (1173883711).

The spelling of 1153440200 in words is "one billion, one hundred fifty-three million, four hundred forty thousand, two hundred".