408871680 has 432 divisors, whose sum is σ = 1585440864. Its totient is φ = 89456640.

The previous prime is 408871663. The next prime is 408871681. The reversal of 408871680 is 86178804.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408871681) 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, 7714534 + ... + 7714586.

It is an arithmetic number, because the mean of its divisors is an integer number (3670002).

Almost surely, 2^408871680 is an apocalyptic number.

408871680 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 408871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792720432).

408871680 is an abundant number, since it is smaller than the sum of its proper divisors (1176569184).

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

408871680 is a wasteful number, since it uses less digits than its factorization.

408871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 408871680 is about 20220.5756594613. The cubic root of 408871680 is about 742.2137748822.

The spelling of 408871680 in words is "four hundred eight million, eight hundred seventy-one thousand, six hundred eighty".