305300052 has 72 divisors (see below), whose sum is σ = 802456200. Its totient is φ = 97751808.

The previous prime is 305300041. The next prime is 305300053. The reversal of 305300052 is 250003503.

It can be written as a sum of positive squares in 4 ways, for example, as 140280336 + 165019716 = 11844^2 + 12846^2 .

It is a super-3 number, since 3×305300052³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 305299998 and 305300034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305300053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238438 + ... + 239714.

It is an arithmetic number, because the mean of its divisors is an integer number (11145225).

Almost surely, 2^305300052 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 305300052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401228100).

305300052 is an abundant number, since it is smaller than the sum of its proper divisors (497156148).

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

305300052 is a wasteful number, since it uses less digits than its factorization.

305300052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 305300052 is about 17472.8375486067. The cubic root of 305300052 is about 673.3522145039.

Adding to 305300052 its reverse (250003503), we get a palindrome (555303555).

The spelling of 305300052 in words is "three hundred five million, three hundred thousand, fifty-two".