401300 has 18 divisors (see below), whose sum is σ = 871038. Its totient is φ = 160480.

The previous prime is 401287. The next prime is 401309. The reversal of 401300 is 3104.

It can be written as a sum of positive squares in 3 ways, for example, as 71824 + 329476 = 268^2 + 574^2 .

It is a super-2 number, since 2×401300² = 322083380000, which contains 22 as substring.

It is a congruent number.

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

401300 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 5 ways as a sum of consecutive naturals, for example, 1907 + ... + 2106.

It is an arithmetic number, because the mean of its divisors is an integer number (48391).

2⁴⁰¹³⁰⁰ is an apocalyptic number.

It is an amenable number.

401300 is an abundant number, since it is smaller than the sum of its proper divisors (469738).

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

401300 is a wasteful number, since it uses less digits than its factorization.

401300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4027 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 401300 is about 633.4824385885. The cubic root of 401300 is about 73.7603643387.

Adding to 401300 its reverse (3104), we get a palindrome (404404).

The spelling of 401300 in words is "four hundred one thousand, three hundred", and thus it is an iban number.