1186461440 has 144 divisors (see below), whose sum is σ = 2995163136. Its totient is φ = 449433600.

The previous prime is 1186461431. The next prime is 1186461449. The reversal of 1186461440 is 441646811.

It is an interprime number because it is at equal distance from previous prime (1186461431) and next prime (1186461449).

It is a self number, because there is not a number n which added to its sum of digits gives 1186461440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1186461449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5622935 + ... + 5623145.

It is an arithmetic number, because the mean of its divisors is an integer number (20799744).

Almost surely, 2^1186461440 is an apocalyptic number.

1186461440 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 1186461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497581568).

1186461440 is an abundant number, since it is smaller than the sum of its proper divisors (1808701696).

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

1186461440 is a wasteful number, since it uses less digits than its factorization.

1186461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 1186461440 is about 34445.0495717454. The cubic root of 1186461440 is about 1058.6470932545.

The spelling of 1186461440 in words is "one billion, one hundred eighty-six million, four hundred sixty-one thousand, four hundred forty".