1135204800 has 168 divisors, whose sum is σ = 3778008192. Its totient is φ = 298368000.

The previous prime is 1135204789. The next prime is 1135204831. The reversal of 1135204800 is 84025311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339135 + ... + 342465.

It is an arithmetic number, because the mean of its divisors is an integer number (22488144).

Almost surely, 2^1135204800 is an apocalyptic number.

1135204800 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 1135204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889004096).

1135204800 is an abundant number, since it is smaller than the sum of its proper divisors (2642803392).

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

1135204800 is a wasteful number, since it uses less digits than its factorization.

1135204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1135204800 is about 33692.8004178934. The cubic root of 1135204800 is about 1043.1771675972.

The spelling of 1135204800 in words is "one billion, one hundred thirty-five million, two hundred four thousand, eight hundred".