305145540 has 216 divisors, whose sum is σ = 1114790040. Its totient is φ = 67286016.

The previous prime is 305145527. The next prime is 305145557. The reversal of 305145540 is 45541503.

305145540 is a `hidden beast` number, since 30 + 51 + 45 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34082244 + 271063296 = 5838^2 + 16464^2 .

It is a super-2 number, since 2×305145540² = 186227601163783200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 255184 + ... + 256376.

It is an arithmetic number, because the mean of its divisors is an integer number (5161065).

Almost surely, 2^305145540 is an apocalyptic number.

305145540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305145540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557395020).

305145540 is an abundant number, since it is smaller than the sum of its proper divisors (809644500).

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

305145540 is a wasteful number, since it uses less digits than its factorization.

305145540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 305145540 is about 17468.4154976918. The cubic root of 305145540 is about 673.2386010786.

The spelling of 305145540 in words is "three hundred five million, one hundred forty-five thousand, five hundred forty".