305400 has 48 divisors (see below), whose sum is σ = 948600. Its totient is φ = 81280.

The previous prime is 305377. The next prime is 305401. The reversal of 305400 is 4503.

305400 = T₂₅₆ + T₂₅₇ + ... + T₂₆₄.

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 (305401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 346 + ... + 854.

2³⁰⁵⁴⁰⁰ is an apocalyptic number.

305400 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 305400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474300).

305400 is an abundant number, since it is smaller than the sum of its proper divisors (643200).

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

305400 is a wasteful number, since it uses less digits than its factorization.

305400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 519 counting only the distinct ones).

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

The square root of 305400 is about 552.6300751859. The cubic root of 305400 is about 67.3425686338.

Adding to 305400 its reverse (4503), we get a palindrome (309903).

The spelling of 305400 in words is "three hundred five thousand, four hundred".