414040 has 32 divisors (see below), whose sum is σ = 1017360. Its totient is φ = 150400.

The previous prime is 414031. The next prime is 414049. The reversal of 414040 is 40414.

It is a happy number.

414040 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 (414031) and next prime (414049).

It is a self number, because there is not a number n which added to its sum of digits gives 414040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414049) by changing a digit.

414040 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 7 ways as a sum of consecutive naturals, for example, 31 + ... + 910.

2⁴¹⁴⁰⁴⁰ is an apocalyptic number.

414040 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 414040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508680).

414040 is an abundant number, since it is smaller than the sum of its proper divisors (603320).

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

414040 is a wasteful number, since it uses less digits than its factorization.

414040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 959 counting only the distinct ones).

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

The square root of 414040 is about 643.4594004287. The cubic root of 414040 is about 74.5327993948.

Adding to 414040 its reverse (40414), we get a palindrome (454454).

It can be divided in two parts, 4140 and 40, that multiplied together give a triangular number (165600 = T₅₇₅).

The spelling of 414040 in words is "four hundred fourteen thousand, forty", and thus it is an iban number.