1130445600 has 288 divisors, whose sum is σ = 3948497280. Its totient is φ = 279920640.

The previous prime is 1130445581. The next prime is 1130445611. The reversal of 1130445600 is 65440311.

It is a super-3 number, since 3×1130445600³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4202266 + ... + 4202534.

It is an arithmetic number, because the mean of its divisors is an integer number (13710060).

Almost surely, 2^1130445600 is an apocalyptic number.

1130445600 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 1130445600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974248640).

1130445600 is an abundant number, since it is smaller than the sum of its proper divisors (2818051680).

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

1130445600 is a wasteful number, since it uses less digits than its factorization.

1130445600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1130445600 is about 33622.0998749335. The cubic root of 1130445600 is about 1041.7173303003.

Adding to 1130445600 its reverse (65440311), we get a palindrome (1195885911).

The spelling of 1130445600 in words is "one billion, one hundred thirty million, four hundred forty-five thousand, six hundred".