401440 has 48 divisors (see below), whose sum is σ = 1026648. Its totient is φ = 147456.

The previous prime is 401417. The next prime is 401473. The reversal of 401440 is 44104.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 197136 + 204304 = 444^2 + 452^2 .

It is a super-2 number, since 2×401440² = 322308147200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 401440.

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, 1984 + ... + 2176.

2⁴⁰¹⁴⁴⁰ is an apocalyptic number.

401440 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 401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513324).

401440 is an abundant number, since it is smaller than the sum of its proper divisors (625208).

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

401440 is a wasteful number, since it uses less digits than its factorization.

401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 401440 is about 633.5929292535. The cubic root of 401440 is about 73.7689408404.

Adding to 401440 its reverse (44104), we get a palindrome (445544).

It can be divided in two parts, 401 and 440, that added together give a square (841 = 29²).

The spelling of 401440 in words is "four hundred one thousand, four hundred forty", and thus it is an iban number.