408901680 has 240 divisors, whose sum is σ = 1586710944. Its totient is φ = 93265920.

The previous prime is 408901667. The next prime is 408901699. The reversal of 408901680 is 86109804.

It is a happy number.

408901680 is a `hidden beast` number, since 408 + 90 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133122 + ... + 136158.

Almost surely, 2^408901680 is an apocalyptic number.

408901680 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 408901680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793355472).

408901680 is an abundant number, since it is smaller than the sum of its proper divisors (1177809264).

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

408901680 is a wasteful number, since it uses less digits than its factorization.

408901680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3084 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 408901680 is about 20221.3174644977. The cubic root of 408901680 is about 742.2319271695.

The spelling of 408901680 in words is "four hundred eight million, nine hundred one thousand, six hundred eighty".