1135464000 has 672 divisors, whose sum is σ = 4553273088. Its totient is φ = 247808000.

The previous prime is 1135463933. The next prime is 1135464007. The reversal of 1135464000 is 4645311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135464007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49367989 + ... + 49368011.

It is an arithmetic number, because the mean of its divisors is an integer number (6775704).

Almost surely, 2^1135464000 is an apocalyptic number.

1135464000 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 1135464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276636544).

1135464000 is an abundant number, since it is smaller than the sum of its proper divisors (3417809088).

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

1135464000 is a wasteful number, since it uses less digits than its factorization.

1135464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1135464000 is about 33696.6467174406. The cubic root of 1135464000 is about 1043.2565573675.

The spelling of 1135464000 in words is "one billion, one hundred thirty-five million, four hundred sixty-four thousand".