305044080 has 80 divisors (see below), whose sum is σ = 1031612544. Its totient is φ = 73949440.

The previous prime is 305044067. The next prime is 305044087. The reversal of 305044080 is 80440503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 305044080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305044087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55134 + ... + 60413.

Almost surely, 2^305044080 is an apocalyptic number.

305044080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

305044080 is an abundant number, since it is smaller than the sum of its proper divisors (726568464).

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

305044080 is a wasteful number, since it uses less digits than its factorization.

305044080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115574 (or 115568 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 305044080 is about 17465.5111577074. The cubic root of 305044080 is about 673.1639761849.

Adding to 305044080 its reverse (80440503), we get a palindrome (385484583).

The spelling of 305044080 in words is "three hundred five million, forty-four thousand, eighty".