408001720 has 32 divisors (see below), whose sum is σ = 1049148000. Its totient is φ = 139886208.

The previous prime is 408001703. The next prime is 408001777. The reversal of 408001720 is 27100804.

It is a junction number, because it is equal to n+sod(n) for n = 408001691 and 408001700.

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 7 ways as a sum of consecutive naturals, for example, 728295 + ... + 728854.

It is an arithmetic number, because the mean of its divisors is an integer number (32785875).

Almost surely, 2^408001720 is an apocalyptic number.

408001720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408001720 is an abundant number, since it is smaller than the sum of its proper divisors (641146280).

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

408001720 is a wasteful number, since it uses less digits than its factorization.

408001720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457167 (or 1457163 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 408001720 is about 20199.0524530236. The cubic root of 408001720 is about 741.6869960902.

The spelling of 408001720 in words is "four hundred eight million, one thousand, seven hundred twenty".