408953825280 has 2592 divisors, whose sum is σ = 1990174717440. Its totient is φ = 75910348800.

The previous prime is 408953825261. The next prime is 408953825281. The reversal of 408953825280 is 82528359804.

It is a happy number.

408953825280 is a `hidden beast` number, since 4 + 0 + 8 + 9 + 538 + 25 + 2 + 80 = 666.

It is a super-2 number, since 2×408953825280² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408953825281) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 13192058865 + ... + 13192058895.

It is an arithmetic number, because the mean of its divisors is an integer number (767814320).

Almost surely, 2^408953825280 is an apocalyptic number.

408953825280 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 408953825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995087358720).

408953825280 is an abundant number, since it is smaller than the sum of its proper divisors (1581220892160).

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

408953825280 is a wasteful number, since it uses less digits than its factorization.

408953825280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 408953825280 in words is "four hundred eight billion, nine hundred fifty-three million, eight hundred twenty-five thousand, two hundred eighty".