408919680 has 384 divisors, whose sum is σ = 1568286720. Its totient is φ = 97542144.

The previous prime is 408919673. The next prime is 408919703. The reversal of 408919680 is 86919804.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3219777 + ... + 3219903.

It is an arithmetic number, because the mean of its divisors is an integer number (4084080).

Almost surely, 2^408919680 is an apocalyptic number.

408919680 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 408919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784143360).

408919680 is an abundant number, since it is smaller than the sum of its proper divisors (1159367040).

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

408919680 is a wasteful number, since it uses less digits than its factorization.

408919680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 408919680 is about 20221.7625344578. The cubic root of 408919680 is about 742.2428181158.

The spelling of 408919680 in words is "four hundred eight million, nine hundred nineteen thousand, six hundred eighty".