305875152 has 240 divisors, whose sum is σ = 1018809792. Its totient is φ = 84602880.

The previous prime is 305875147. The next prime is 305875247. The reversal of 305875152 is 251578503.

It is a super-2 number, since 2×305875152² = 187119217222046208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 996183 + ... + 996489.

Almost surely, 2^305875152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305875152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509404896).

305875152 is an abundant number, since it is smaller than the sum of its proper divisors (712934640).

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

305875152 is a wasteful number, since it uses less digits than its factorization.

305875152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 305875152 is about 17489.2867779106. The cubic root of 305875152 is about 673.7747517821.

It can be divided in two parts, 3058 and 75152, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 305875152 in words is "three hundred five million, eight hundred seventy-five thousand, one hundred fifty-two".