1516130460 has 336 divisors, whose sum is σ = 5424252960. Its totient is φ = 352719360.

The previous prime is 1516130459. The next prime is 1516130461. The reversal of 1516130460 is 640316151.

1516130460 is a `hidden beast` number, since 1 + 5 + 1 + 613 + 0 + 46 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1516130459) and next prime (1516130461).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1516130461) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3601050 + ... + 3601470.

It is an arithmetic number, because the mean of its divisors is an integer number (16143610).

Almost surely, 2^1516130460 is an apocalyptic number.

1516130460 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 1516130460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712126480).

1516130460 is an abundant number, since it is smaller than the sum of its proper divisors (3908122500).

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

1516130460 is a wasteful number, since it uses less digits than its factorization.

1516130460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1516130460 is about 38937.5199518408. The cubic root of 1516130460 is about 1148.8029030179.

The spelling of 1516130460 in words is "one billion, five hundred sixteen million, one hundred thirty thousand, four hundred sixty".