401360 has 40 divisors (see below), whose sum is σ = 970920. Its totient is φ = 154112.

The previous prime is 401347. The next prime is 401371. The reversal of 401360 is 63104.

401360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 118336 + 283024 = 344^2 + 532^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×401360² = 322179699200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2234 + ... + 2406.

It is an arithmetic number, because the mean of its divisors is an integer number (24273).

2⁴⁰¹³⁶⁰ is an apocalyptic number.

401360 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 401360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485460).

401360 is an abundant number, since it is smaller than the sum of its proper divisors (569560).

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

401360 is a wasteful number, since it uses less digits than its factorization.

401360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 401360 is about 633.5297940902. The cubic root of 401360 is about 73.7640402265.

Adding to 401360 its reverse (63104), we get a palindrome (464464).

The spelling of 401360 in words is "four hundred one thousand, three hundred sixty".