408106720 has 96 divisors (see below), whose sum is σ = 1105671168. Its totient is φ = 139442688.

The previous prime is 408106711. The next prime is 408106739. The reversal of 408106720 is 27601804.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 518167 + ... + 518953.

It is an arithmetic number, because the mean of its divisors is an integer number (11517408).

Almost surely, 2^408106720 is an apocalyptic number.

408106720 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 408106720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552835584).

408106720 is an abundant number, since it is smaller than the sum of its proper divisors (697564448).

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

408106720 is a wasteful number, since it uses less digits than its factorization.

408106720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 408106720 is about 20201.6514176441. The cubic root of 408106720 is about 741.7506154747.

The spelling of 408106720 in words is "four hundred eight million, one hundred six thousand, seven hundred twenty".