408084848800 has 72 divisors (see below), whose sum is σ = 996826824000. Its totient is φ = 163137319680.

The previous prime is 408084848761. The next prime is 408084848807. The reversal of 408084848800 is 8848480804.

It is a happy number.

It is a super-2 number, since 2×408084848800² (a number of 24 digits) contains 22 as substring.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (408084848807) 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, 1209081 + ... + 1509319.

It is an arithmetic number, because the mean of its divisors is an integer number (13844817000).

Almost surely, 2^408084848800 is an apocalyptic number.

408084848800 is a gapful number since it is divisible by the number (40) 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 408084848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498413412000).

408084848800 is an abundant number, since it is smaller than the sum of its proper divisors (588741975200).

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

408084848800 is a wasteful number, since it uses less digits than its factorization.

408084848800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301958 (or 301945 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 52.

The spelling of 408084848800 in words is "four hundred eight billion, eighty-four million, eight hundred forty-eight thousand, eight hundred".