408245992800 has 288 divisors, whose sum is σ = 1400230379520. Its totient is φ = 103028889600.

The previous prime is 408245992789. The next prime is 408245992807. The reversal of 408245992800 is 8299542804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408245992807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49836705 + ... + 49844895.

It is an arithmetic number, because the mean of its divisors is an integer number (4861911040).

Almost surely, 2^408245992800 is an apocalyptic number.

408245992800 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 408245992800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700115189760).

408245992800 is an abundant number, since it is smaller than the sum of its proper divisors (991984386720).

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

408245992800 is a wasteful number, since it uses less digits than its factorization.

408245992800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9326 (or 9313 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 408245992800 in words is "four hundred eight billion, two hundred forty-five million, nine hundred ninety-two thousand, eight hundred".