1152214400 has 144 divisors (see below), whose sum is σ = 2926019940. Its totient is φ = 448312320.

The previous prime is 1152214391. The next prime is 1152214411. The reversal of 1152214400 is 44122511.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7068719 + ... + 7068881.

Almost surely, 2^1152214400 is an apocalyptic number.

1152214400 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 1152214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463009970).

1152214400 is an abundant number, since it is smaller than the sum of its proper divisors (1773805540).

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

1152214400 is an equidigital number, since it uses as much as digits as its factorization.

1152214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1152214400 is about 33944.2837603034. The cubic root of 1152214400 is about 1048.3615868619.

Adding to 1152214400 its reverse (44122511), we get a palindrome (1196336911).

The spelling of 1152214400 in words is "one billion, one hundred fifty-two million, two hundred fourteen thousand, four hundred".