408407413248 has 240 divisors, whose sum is σ = 1205979705216. Its totient is φ = 133018583040.

The previous prime is 408407413229. The next prime is 408407413277. The reversal of 408407413248 is 842314704804.

408407413248 is a `hidden beast` number, since 408 + 4 + 0 + 74 + 132 + 48 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36964461 + ... + 36975507.

Almost surely, 2^408407413248 is an apocalyptic number.

408407413248 is a gapful number since it is divisible by the number (48) 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 408407413248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602989852608).

408407413248 is an abundant number, since it is smaller than the sum of its proper divisors (797572291968).

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

408407413248 is a wasteful number, since it uses less digits than its factorization.

408407413248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11255 (or 11236 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 408407413248 in words is "four hundred eight billion, four hundred seven million, four hundred thirteen thousand, two hundred forty-eight".