408067488 has 72 divisors (see below), whose sum is σ = 1162613088. Its totient is φ = 135768192.

The previous prime is 408067481. The next prime is 408067529. The reversal of 408067488 is 884760804.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (408067481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213031 + ... + 214937.

It is an arithmetic number, because the mean of its divisors is an integer number (16147404).

Almost surely, 2^408067488 is an apocalyptic number.

408067488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408067488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581306544).

408067488 is an abundant number, since it is smaller than the sum of its proper divisors (754545600).

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

408067488 is a wasteful number, since it uses less digits than its factorization.

408067488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666 (or 2655 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 408067488 is about 20200.6803845811. The cubic root of 408067488 is about 741.7268461261.

The spelling of 408067488 in words is "four hundred eight million, sixty-seven thousand, four hundred eighty-eight".