1133990400 has 120 divisors (see below), whose sum is σ = 3746193264. Its totient is φ = 302387200.

The previous prime is 1133990383. The next prime is 1133990401. The reversal of 1133990400 is 40993311.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1133990401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 23635 + ... + 53165.

Almost surely, 2^1133990400 is an apocalyptic number.

1133990400 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 1133990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873096632).

1133990400 is an abundant number, since it is smaller than the sum of its proper divisors (2612202864).

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

1133990400 is an equidigital number, since it uses as much as digits as its factorization.

1133990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29562 (or 29541 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 1133990400 is about 33674.7739413348. The cubic root of 1133990400 is about 1042.8050507896.

The spelling of 1133990400 in words is "one billion, one hundred thirty-three million, nine hundred ninety thousand, four hundred".