408078 has 40 divisors (see below), whose sum is σ = 1001880. Its totient is φ = 123120.

The previous prime is 408077. The next prime is 408091. The reversal of 408078 is 870804.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408071) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1668 + ... + 1896.

It is an arithmetic number, because the mean of its divisors is an integer number (25047).

2⁴⁰⁸⁰⁷⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500940).

408078 is an abundant number, since it is smaller than the sum of its proper divisors (593802).

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

408078 is a wasteful number, since it uses less digits than its factorization.

408078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 408078 is about 638.8098308574. The cubic root of 408078 is about 74.1733215143.

It can be divided in two parts, 40 and 8078, that added together give a palindrome (8118).

The spelling of 408078 in words is "four hundred eight thousand, seventy-eight".