305142660 has 96 divisors (see below), whose sum is σ = 999331200. Its totient is φ = 77086080.

The previous prime is 305142637. The next prime is 305142667. The reversal of 305142660 is 66241503.

It is a super-2 number, since 2×305142660² = 186224085903751200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (305142667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4611 + ... + 25130.

It is an arithmetic number, because the mean of its divisors is an integer number (10409700).

Almost surely, 2^305142660 is an apocalyptic number.

305142660 is a gapful number since it is divisible by the number (30) 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 305142660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499665600).

305142660 is an abundant number, since it is smaller than the sum of its proper divisors (694188540).

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

305142660 is a wasteful number, since it uses less digits than its factorization.

305142660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29778 (or 29770 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 305142660 is about 17468.3330630029. Note that the first 3 decimals coincide. The cubic root of 305142660 is about 673.2364830365.

The spelling of 305142660 in words is "three hundred five million, one hundred forty-two thousand, six hundred sixty".