305742420 has 36 divisors (see below), whose sum is σ = 927419220. Its totient is φ = 81531264.

The previous prime is 305742397. The next prime is 305742421. The reversal of 305742420 is 24247503.

It can be written as a sum of positive squares in 2 ways, for example, as 52359696 + 253382724 = 7236^2 + 15918^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305742421) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 849105 + ... + 849464.

It is an arithmetic number, because the mean of its divisors is an integer number (25761645).

Almost surely, 2^305742420 is an apocalyptic number.

305742420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

305742420 is an abundant number, since it is smaller than the sum of its proper divisors (621676800).

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

305742420 is a wasteful number, since it uses less digits than its factorization.

305742420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698584 (or 1698579 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 305742420 is about 17485.4917002640. The cubic root of 305742420 is about 673.6772780155.

Adding to 305742420 its reverse (24247503), we get a palindrome (329989923).

The spelling of 305742420 in words is "three hundred five million, seven hundred forty-two thousand, four hundred twenty".