1132444800 has 480 divisors, whose sum is σ = 4442009220. Its totient is φ = 283115520.

The previous prime is 1132444793. The next prime is 1132444871. The reversal of 1132444800 is 84442311.

It can be written as a sum of positive squares in 6 ways, for example, as 918817344 + 213627456 = 30312^2 + 14616^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4406272 + ... + 4406528.

Almost surely, 2^1132444800 is an apocalyptic number.

1132444800 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 1132444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221004610).

1132444800 is an abundant number, since it is smaller than the sum of its proper divisors (3309564420).

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

1132444800 is a wasteful number, since it uses less digits than its factorization.

1132444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1132444800 is about 33651.8171871892. The cubic root of 1132444800 is about 1042.3310631486.

The spelling of 1132444800 in words is "one billion, one hundred thirty-two million, four hundred forty-four thousand, eight hundred".