305040 has 80 divisors (see below), whose sum is σ = 999936. Its totient is φ = 76800.

The previous prime is 305033. The next prime is 305047. The reversal of 305040 is 40503.

It is an interprime number because it is at equal distance from previous prime (305033) and next prime (305047).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305047) 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, 7420 + ... + 7460.

2³⁰⁵⁰⁴⁰ is an apocalyptic number.

305040 is a gapful number since it is divisible by the number (30) 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 305040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499968).

305040 is an abundant number, since it is smaller than the sum of its proper divisors (694896).

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

305040 is a wasteful number, since it uses less digits than its factorization.

305040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 305040 is about 552.3042639705. The cubic root of 305040 is about 67.3160974956.

Adding to 305040 its reverse (40503), we get a palindrome (345543).

The spelling of 305040 in words is "three hundred five thousand, forty".