1155218400 has 216 divisors, whose sum is σ = 4655733264. Its totient is φ = 264038400.

The previous prime is 1155218381. The next prime is 1155218413. The reversal of 1155218400 is 48125511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38940 + ... + 61860.

Almost surely, 2^1155218400 is an apocalyptic number.

1155218400 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 1155218400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327866632).

1155218400 is an abundant number, since it is smaller than the sum of its proper divisors (3500514864).

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

1155218400 is a wasteful number, since it uses less digits than its factorization.

1155218400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22954 (or 22938 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 1155218400 is about 33988.5039388320. The cubic root of 1155218400 is about 1049.2718761507.

The spelling of 1155218400 in words is "one billion, one hundred fifty-five million, two hundred eighteen thousand, four hundred".