305420288 has 96 divisors (see below), whose sum is σ = 660441600. Its totient is φ = 140746752.

The previous prime is 305420287. The next prime is 305420293. The reversal of 305420288 is 882024503.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305420281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1828781 + ... + 1828947.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2^305420288 is an apocalyptic number.

305420288 is a gapful number since it is divisible by the number (38) 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 305420288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330220800).

305420288 is an abundant number, since it is smaller than the sum of its proper divisors (355021312).

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

305420288 is a wasteful number, since it uses less digits than its factorization.

305420288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 305420288 is about 17476.2778645797. The cubic root of 305420288 is about 673.4405981016.

The spelling of 305420288 in words is "three hundred five million, four hundred twenty thousand, two hundred eighty-eight".