408505680 has 300 divisors, whose sum is σ = 1562501556. Its totient is φ = 98841600.

The previous prime is 408505667. The next prime is 408505709. The reversal of 408505680 is 86505804.

It is a happy number.

408505680 is a `hidden beast` number, since 40 + 8 + 50 + 568 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 131882256 + 276623424 = 11484^2 + 16632^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 783820 + ... + 784340.

Almost surely, 2^408505680 is an apocalyptic number.

408505680 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 408505680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781250778).

408505680 is an abundant number, since it is smaller than the sum of its proper divisors (1153995876).

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

408505680 is a wasteful number, since it uses less digits than its factorization.

408505680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 408505680 is about 20211.5234457970. The cubic root of 408505680 is about 741.9922454466.

The spelling of 408505680 in words is "four hundred eight million, five hundred five thousand, six hundred eighty".