305885472 has 96 divisors (see below), whose sum is σ = 829543680. Its totient is φ = 98641920.

The previous prime is 305885431. The next prime is 305885477. The reversal of 305885472 is 274588503.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (305885477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401572 + ... + 402332.

It is an arithmetic number, because the mean of its divisors is an integer number (8641080).

Almost surely, 2^305885472 is an apocalyptic number.

305885472 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 305885472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414771840).

305885472 is an abundant number, since it is smaller than the sum of its proper divisors (523658208).

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

305885472 is a wasteful number, since it uses less digits than its factorization.

305885472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 305885472 is about 17489.5818131824. The cubic root of 305885472 is about 673.7823292498.

The spelling of 305885472 in words is "three hundred five million, eight hundred eighty-five thousand, four hundred seventy-two".