1130054400 has 324 divisors, whose sum is σ = 4220802768. Its totient is φ = 287907840.

The previous prime is 1130054399. The next prime is 1130054461. The reversal of 1130054400 is 44500311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1324374 + ... + 1325226.

Almost surely, 2^1130054400 is an apocalyptic number.

1130054400 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 1130054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110401384).

1130054400 is an abundant number, since it is smaller than the sum of its proper divisors (3090748368).

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

1130054400 is a wasteful number, since it uses less digits than its factorization.

1130054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1130054400 is about 33616.2817694045. The cubic root of 1130054400 is about 1041.5971514855.

Adding to 1130054400 its reverse (44500311), we get a palindrome (1174554711).

The spelling of 1130054400 in words is "one billion, one hundred thirty million, fifty-four thousand, four hundred".