1153224400 has 30 divisors (see below), whose sum is σ = 2770622582. Its totient is φ = 461289600.

The previous prime is 1153224377. The next prime is 1153224409. The reversal of 1153224400 is 44223511.

It can be written as a sum of positive squares in 3 ways, for example, as 95413824 + 1057810576 = 9768^2 + 32524^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153224409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1441131 + ... + 1441930.

Almost surely, 2^1153224400 is an apocalyptic number.

1153224400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1153224400 is an abundant number, since it is smaller than the sum of its proper divisors (1617398182).

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

1153224400 is a wasteful number, since it uses less digits than its factorization.

1153224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883079 (or 2883068 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 1153224400 is about 33959.1578223018. The cubic root of 1153224400 is about 1048.6678192113.

Adding to 1153224400 its reverse (44223511), we get a palindrome (1197447911).

The spelling of 1153224400 in words is "one billion, one hundred fifty-three million, two hundred twenty-four thousand, four hundred".