305146272 has 48 divisors (see below), whose sum is σ = 820556352. Its totient is φ = 99233280.

The previous prime is 305146229. The next prime is 305146279. The reversal of 305146272 is 272641503.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×305146272² = 186228494630995968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (305146279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34828 + ... + 42699.

It is an arithmetic number, because the mean of its divisors is an integer number (17094924).

Almost surely, 2^305146272 is an apocalyptic number.

305146272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

305146272 is an abundant number, since it is smaller than the sum of its proper divisors (515410080).

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

305146272 is a wasteful number, since it uses less digits than its factorization.

305146272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77581 (or 77573 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 305146272 is about 17468.4364497799. The cubic root of 305146272 is about 673.2391394122.

Adding to 305146272 its reverse (272641503), we get a palindrome (577787775).

The spelling of 305146272 in words is "three hundred five million, one hundred forty-six thousand, two hundred seventy-two".