401304 has 32 divisors (see below), whose sum is σ = 1048320. Its totient is φ = 127776.

The previous prime is 401287. The next prime is 401309. The reversal of 401304 is 403104.

It is a super-2 number, since 2×401304² = 322089800832, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 401304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401309) by changing a digit.

401304 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189 + ... + 915.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

2⁴⁰¹³⁰⁴ 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 401304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524160).

401304 is an abundant number, since it is smaller than the sum of its proper divisors (647016).

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

401304 is a wasteful number, since it uses less digits than its factorization.

401304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 401304 is about 633.4855957321. The cubic root of 401304 is about 73.7606094093.

Adding to 401304 its reverse (403104), we get a palindrome (804408).

The spelling of 401304 in words is "four hundred one thousand, three hundred four", and thus it is an iban number.