408408452000 has 96 divisors (see below), whose sum is σ = 1006258256640. Its totient is φ = 162907756800.

The previous prime is 408408451999. The next prime is 408408452003. The reversal of 408408452000 is 254804804.

It is not an unprimeable number, because it can be changed into a prime (408408452003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1293797 + ... + 1578203.

It is an arithmetic number, because the mean of its divisors is an integer number (10481856840).

Almost surely, 2^408408452000 is an apocalyptic number.

408408452000 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 408408452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503129128320).

408408452000 is an abundant number, since it is smaller than the sum of its proper divisors (597849804640).

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

408408452000 is a wasteful number, since it uses less digits than its factorization.

408408452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284791 (or 284773 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 35.

The spelling of 408408452000 in words is "four hundred eight billion, four hundred eight million, four hundred fifty-two thousand".