305878752 has 72 divisors (see below), whose sum is σ = 874508544. Its totient is φ = 101412864.

The previous prime is 305878723. The next prime is 305878787. The reversal of 305878752 is 257878503.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 305878698 and 305878707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52833 + ... + 58335.

It is an arithmetic number, because the mean of its divisors is an integer number (12145952).

Almost surely, 2^305878752 is an apocalyptic number.

305878752 is a gapful number since it is divisible by the number (32) 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 305878752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437254272).

305878752 is an abundant number, since it is smaller than the sum of its proper divisors (568629792).

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

305878752 is a wasteful number, since it uses less digits than its factorization.

305878752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5712 (or 5701 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 305878752 is about 17489.3896977568. The cubic root of 305878752 is about 673.7773951041. Note that the first 3 decimals are identical.

It can be divided in two parts, 3058 and 78752, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 305878752 in words is "three hundred five million, eight hundred seventy-eight thousand, seven hundred fifty-two".