401320 has 32 divisors (see below), whose sum is σ = 921600. Its totient is φ = 157248.

The previous prime is 401311. The next prime is 401321. The reversal of 401320 is 23104.

It is a super-2 number, since 2×401320² = 322115484800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

401320 is a modest number, since divided by 1320 gives 40 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 401297 and 401306.

It is not an unprimeable number, because it can be changed into a prime (401321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3097 + ... + 3223.

It is an arithmetic number, because the mean of its divisors is an integer number (28800).

2⁴⁰¹³²⁰ is an apocalyptic number.

401320 is a gapful number since it is divisible by the number (40) 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 401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460800).

401320 is an abundant number, since it is smaller than the sum of its proper divisors (520280).

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

401320 is a wasteful number, since it uses less digits than its factorization.

401320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 401320 is about 633.4982241491. The cubic root of 401320 is about 73.7615896753.

Adding to 401320 its reverse (23104), we get a palindrome (424424).

The spelling of 401320 in words is "four hundred one thousand, three hundred twenty", and thus it is an iban number.