408378872 has 72 divisors (see below), whose sum is σ = 871655400. Its totient is φ = 179229600.

The previous prime is 408378871. The next prime is 408378877. The reversal of 408378872 is 278873804.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408378871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 930029 + ... + 930467.

It is an arithmetic number, because the mean of its divisors is an integer number (12106325).

Almost surely, 2^408378872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408378872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435827700).

408378872 is an abundant number, since it is smaller than the sum of its proper divisors (463276528).

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

408378872 is a wasteful number, since it uses less digits than its factorization.

408378872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 47.

The square root of 408378872 is about 20208.3861799996. The cubic root of 408378872 is about 741.9154612917.

The spelling of 408378872 in words is "four hundred eight million, three hundred seventy-eight thousand, eight hundred seventy-two".