408667072 has 112 divisors (see below), whose sum is σ = 941649120. Its totient is φ = 174182400.

The previous prime is 408667037. The next prime is 408667073. The reversal of 408667072 is 270766804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408667073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 755122 + ... + 755662.

Almost surely, 2^408667072 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 408667072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470824560).

408667072 is an abundant number, since it is smaller than the sum of its proper divisors (532982048).

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

408667072 is a wasteful number, since it uses less digits than its factorization.

408667072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 408667072 is about 20215.5156253804. The cubic root of 408667072 is about 742.0899477564.

The spelling of 408667072 in words is "four hundred eight million, six hundred sixty-seven thousand, seventy-two".