1530416160 has 768 divisors, whose sum is σ = 7010841600. Its totient is φ = 302579712.

The previous prime is 1530416141. The next prime is 1530416171. The reversal of 1530416160 is 616140351.

1530416160 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 41 + 616 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6682926 + ... + 6683154.

It is an arithmetic number, because the mean of its divisors is an integer number (9128700).

Almost surely, 2^1530416160 is an apocalyptic number.

1530416160 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 1530416160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505420800).

1530416160 is an abundant number, since it is smaller than the sum of its proper divisors (5480425440).

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

1530416160 is a wasteful number, since it uses less digits than its factorization.

1530416160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 276 counting only the distinct ones).

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

The square root of 1530416160 is about 39120.5337386902. The cubic root of 1530416160 is about 1152.3998178188.

It can be divided in two parts, 153041 and 6160, that added together give a square (159201 = 399²).

The spelling of 1530416160 in words is "one billion, five hundred thirty million, four hundred sixteen thousand, one hundred sixty".