1188000460 has 72 divisors (see below), whose sum is σ = 2788188480. Its totient is φ = 423664128.

The previous prime is 1188000449. The next prime is 1188000469. The reversal of 1188000460 is 640008811.

1188000460 = T₂₈₁₄₁ + T₂₈₁₄₂ + T₂₈₁₄₃.

It is a super-2 number, since 2×1188000460² = 2822690185920423200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1188000469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117901 + ... + 127579.

It is an arithmetic number, because the mean of its divisors is an integer number (38724840).

Almost surely, 2^1188000460 is an apocalyptic number.

1188000460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1188000460 is the 28143-rd centered triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1188000460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394094240).

1188000460 is an abundant number, since it is smaller than the sum of its proper divisors (1600188020).

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

1188000460 is a wasteful number, since it uses less digits than its factorization.

1188000460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9743 (or 9722 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 1188000460 is about 34467.3825522043. The cubic root of 1188000460 is about 1059.1046372948.

The spelling of 1188000460 in words is "one billion, one hundred eighty-eight million, four hundred sixty", and thus it is an aban number.