408092967888 has 80 divisors (see below), whose sum is σ = 1077302405376. Its totient is φ = 133058613760.

The previous prime is 408092967881. The next prime is 408092967899. The reversal of 408092967888 is 888769290804.

It is a super-4 number, since 4×408092967888⁴ (a number of 48 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408092967881) 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 15 ways as a sum of consecutive naturals, for example, 3857458 + ... + 3961838.

Almost surely, 2^408092967888 is an apocalyptic number.

408092967888 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 408092967888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538651202688).

408092967888 is an abundant number, since it is smaller than the sum of its proper divisors (669209437488).

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

408092967888 is a wasteful number, since it uses less digits than its factorization.

408092967888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106172 (or 106166 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 69.

The spelling of 408092967888 in words is "four hundred eight billion, ninety-two million, nine hundred sixty-seven thousand, eight hundred eighty-eight".