1132790400 has 384 divisors, whose sum is σ = 4740470400. Its totient is φ = 258785280.

The previous prime is 1132790389. The next prime is 1132790441. The reversal of 1132790400 is 40972311.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 603864 + ... + 605736.

It is an arithmetic number, because the mean of its divisors is an integer number (12344975).

Almost surely, 2^1132790400 is an apocalyptic number.

1132790400 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 1132790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370235200).

1132790400 is an abundant number, since it is smaller than the sum of its proper divisors (3607680000).

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

1132790400 is a wasteful number, since it uses less digits than its factorization.

1132790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1132790400 is about 33656.9517336315. The cubic root of 1132790400 is about 1042.4370853808.

The spelling of 1132790400 in words is "one billion, one hundred thirty-two million, seven hundred ninety thousand, four hundred".