305055972 has 144 divisors (see below), whose sum is σ = 867543040. Its totient is φ = 89766144.

The previous prime is 305055931. The next prime is 305055997. The reversal of 305055972 is 279550503.

305055972 is a `hidden beast` number, since 30 + 5 + 0 + 559 + 72 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1367853 + ... + 1368075.

Almost surely, 2^305055972 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 305055972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433771520).

305055972 is an abundant number, since it is smaller than the sum of its proper divisors (562487068).

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

305055972 is a wasteful number, since it uses less digits than its factorization.

305055972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 305055972 is about 17465.8515967587. The cubic root of 305055972 is about 673.1727237316.

The spelling of 305055972 in words is "three hundred five million, fifty-five thousand, nine hundred seventy-two".