404040 has 128 divisors (see below), whose sum is σ = 1532160. Its totient is φ = 82944.

The previous prime is 404029. The next prime is 404051. The reversal of 404040 is 40404.

404040 = T₄₅ + T₄₆ + ... + T₁₃₅.

404040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (404029) and next prime (404051).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

404040 is an undulating number in base 10.

404040 is a modest number, since divided by 4040 gives 40 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10902 + ... + 10938.

It is an arithmetic number, because the mean of its divisors is an integer number (11970).

2⁴⁰⁴⁰⁴⁰ is an apocalyptic number.

404040 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 404040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766080).

404040 is an abundant number, since it is smaller than the sum of its proper divisors (1128120).

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

404040 is a wasteful number, since it uses less digits than its factorization.

404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 404040 is about 635.6414083428. The cubic root of 404040 is about 73.9278576194.

404040 divided by its sum of digits (12) gives a triangular number (33670 = T₂₅₉).

Adding to 404040 its reverse (40404), we get a palindrome (444444).

The spelling of 404040 in words is "four hundred four thousand, forty", and thus it is an iban number.