408678172 has 48 divisors (see below), whose sum is σ = 842339008. Its totient is φ = 169827840.

The previous prime is 408678167. The next prime is 408678187. The reversal of 408678172 is 271876804.

It is a super-3 number, since 3×408678172³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 435688 + ... + 436624.

Almost surely, 2^408678172 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 408678172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421169504).

408678172 is an abundant number, since it is smaller than the sum of its proper divisors (433660836).

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

408678172 is a wasteful number, since it uses less digits than its factorization.

408678172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 43.

The square root of 408678172 is about 20215.7901651160. The cubic root of 408678172 is about 742.0966664478.

The spelling of 408678172 in words is "four hundred eight million, six hundred seventy-eight thousand, one hundred seventy-two".