1130606400 has 1008 divisors, whose sum is σ = 5170383360. Its totient is φ = 212889600.

The previous prime is 1130606359. The next prime is 1130606413. The reversal of 1130606400 is 46060311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49156789 + ... + 49156811.

Almost surely, 2^1130606400 is an apocalyptic number.

1130606400 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 1130606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585191680).

1130606400 is an abundant number, since it is smaller than the sum of its proper divisors (4039776960).

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

1130606400 is a wasteful number, since it uses less digits than its factorization.

1130606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1130606400 is about 33624.4910742155. The cubic root of 1130606400 is about 1041.7667209137.

Adding to 1130606400 its reverse (46060311), we get a palindrome (1176666711).

The spelling of 1130606400 in words is "one billion, one hundred thirty million, six hundred six thousand, four hundred".