418040 has 32 divisors (see below), whose sum is σ = 1075680. Its totient is φ = 143232.

The previous prime is 418031. The next prime is 418043. The reversal of 418040 is 40814.

418040 = 29² + 30² + ... + 108².

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418043) 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, 467 + ... + 1026.

It is an arithmetic number, because the mean of its divisors is an integer number (33615).

2⁴¹⁸⁰⁴⁰ is an apocalyptic number.

418040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

418040 is an abundant number, since it is smaller than the sum of its proper divisors (657640).

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

418040 is a wasteful number, since it uses less digits than its factorization.

418040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 418040 is about 646.5601286810. The cubic root of 418040 is about 74.7720486182.

Adding to 418040 its reverse (40814), we get a palindrome (458854).

The spelling of 418040 in words is "four hundred eighteen thousand, forty".