1135590480 has 360 divisors, whose sum is σ = 4278322152. Its totient is φ = 268959744.

The previous prime is 1135590473. The next prime is 1135590503. The reversal of 1135590480 is 840955311.

It can be written as a sum of positive squares in 4 ways, for example, as 584092224 + 551498256 = 24168^2 + 23484^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4418512 + ... + 4418768.

Almost surely, 2^1135590480 is an apocalyptic number.

1135590480 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 1135590480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139161076).

1135590480 is an abundant number, since it is smaller than the sum of its proper divisors (3142731672).

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

1135590480 is a wasteful number, since it uses less digits than its factorization.

1135590480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1135590480 is about 33698.5234097876. The cubic root of 1135590480 is about 1043.2952922490.

The spelling of 1135590480 in words is "one billion, one hundred thirty-five million, five hundred ninety thousand, four hundred eighty".