304976 has 30 divisors (see below), whose sum is σ = 689130. Its totient is φ = 130368.

The previous prime is 304961. The next prime is 304979. The reversal of 304976 is 679403.

It can be written as a sum of positive squares in only one way, i.e., 226576 + 78400 = 476^2 + 280^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304979) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 590 + ... + 978.

It is an arithmetic number, because the mean of its divisors is an integer number (22971).

2³⁰⁴⁹⁷⁶ 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 304976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344565).

304976 is an abundant number, since it is smaller than the sum of its proper divisors (384154).

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

304976 is a wasteful number, since it uses less digits than its factorization.

304976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 304976 is about 552.2463218528. The cubic root of 304976 is about 67.3113893354.

It can be divided in two parts, 30497 and 6, that added together give a palindrome (30503).

The spelling of 304976 in words is "three hundred four thousand, nine hundred seventy-six".