1218152460 has 192 divisors, whose sum is σ = 4017226752. Its totient is φ = 270065664.

The previous prime is 1218152449. The next prime is 1218152483. The reversal of 1218152460 is 642518121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2053924 + ... + 2054516.

It is an arithmetic number, because the mean of its divisors is an integer number (20923056).

Almost surely, 2^1218152460 is an apocalyptic number.

1218152460 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 1218152460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008613376).

1218152460 is an abundant number, since it is smaller than the sum of its proper divisors (2799074292).

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

1218152460 is a wasteful number, since it uses less digits than its factorization.

1218152460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 1218152460 is about 34902.0409145368. The cubic root of 1218152460 is about 1067.9900720086.

The spelling of 1218152460 in words is "one billion, two hundred eighteen million, one hundred fifty-two thousand, four hundred sixty".