408974227200 has 1296 divisors, whose sum is σ = 1903535665920. Its totient is φ = 84962304000.

The previous prime is 408974227139. The next prime is 408974227229. The reversal of 408974227200 is 2722479804.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 93137005 + ... + 93141395.

It is an arithmetic number, because the mean of its divisors is an integer number (1468777520).

Almost surely, 2^408974227200 is an apocalyptic number.

408974227200 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 408974227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951767832960).

408974227200 is an abundant number, since it is smaller than the sum of its proper divisors (1494561438720).

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

408974227200 is a wasteful number, since it uses less digits than its factorization.

408974227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4451 (or 4419 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 408974227200 in words is "four hundred eight billion, nine hundred seventy-four million, two hundred twenty-seven thousand, two hundred".