305142500 has 120 divisors (see below), whose sum is σ = 739357080. Its totient is φ = 109440000.

The previous prime is 305142473. The next prime is 305142511. The reversal of 305142500 is 5241503.

It can be written as a sum of positive squares in 20 ways, for example, as 301577956 + 3564544 = 17366^2 + 1888^2 .

It is a super-2 number, since 2×305142500² = 186223890612500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 39 ways as a sum of consecutive naturals, for example, 1332386 + ... + 1332614.

It is an arithmetic number, because the mean of its divisors is an integer number (6161309).

Almost surely, 2^305142500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305142500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369678540).

305142500 is an abundant number, since it is smaller than the sum of its proper divisors (434214580).

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

305142500 is a wasteful number, since it uses less digits than its factorization.

305142500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 305142500 is about 17468.3284832865. The cubic root of 305142500 is about 673.2363653671.

The spelling of 305142500 in words is "three hundred five million, one hundred forty-two thousand, five hundred".