1132461000 has 640 divisors, whose sum is σ = 4566481920. Its totient is φ = 259200000.

The previous prime is 1132460999. The next prime is 1132461023. The reversal of 1132461000 is 1642311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27620980 + ... + 27621020.

It is an arithmetic number, because the mean of its divisors is an integer number (7135128).

Almost surely, 2^1132461000 is an apocalyptic number.

1132461000 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 1132461000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283240960).

1132461000 is an abundant number, since it is smaller than the sum of its proper divisors (3434020920).

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

1132461000 is a wasteful number, since it uses less digits than its factorization.

1132461000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1132461000 is about 33652.0578865543. The cubic root of 1132461000 is about 1042.3360334225.

The spelling of 1132461000 in words is "one billion, one hundred thirty-two million, four hundred sixty-one thousand".