408829680 has 200 divisors, whose sum is σ = 1622952672. Its totient is φ = 93436416.

The previous prime is 408829667. The next prime is 408829699. The reversal of 408829680 is 86928804.

It is a happy number.

408829680 is a `hidden beast` number, since 408 + 82 + 96 + 80 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40854 + ... + 49866.

Almost surely, 2^408829680 is an apocalyptic number.

408829680 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 408829680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811476336).

408829680 is an abundant number, since it is smaller than the sum of its proper divisors (1214122992).

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

408829680 is a wasteful number, since it uses less digits than its factorization.

408829680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9045 (or 9030 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 408829680 is about 20219.5370866892. The cubic root of 408829680 is about 742.1883601881.

The spelling of 408829680 in words is "four hundred eight million, eight hundred twenty-nine thousand, six hundred eighty".