1135382400 has 384 divisors, whose sum is σ = 4405298400. Its totient is φ = 284590080.

The previous prime is 1135382387. The next prime is 1135382429. The reversal of 1135382400 is 42835311.

It is a happy number.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1468414 + ... + 1469186.

Almost surely, 2^1135382400 is an apocalyptic number.

1135382400 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 1135382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202649200).

1135382400 is an abundant number, since it is smaller than the sum of its proper divisors (3269916000).

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

1135382400 is a wasteful number, since it uses less digits than its factorization.

1135382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1135382400 is about 33695.4358927140. The cubic root of 1135382400 is about 1043.2315655949.

The spelling of 1135382400 in words is "one billion, one hundred thirty-five million, three hundred eighty-two thousand, four hundred".