406720 has 56 divisors (see below), whose sum is σ = 1024128. Its totient is φ = 153600.

The previous prime is 406717. The next prime is 406729. The reversal of 406720 is 27604.

It is a super-3 number, since 3×406720³ = 201840280633344000, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9900 + ... + 9940.

It is an arithmetic number, because the mean of its divisors is an integer number (18288).

2⁴⁰⁶⁷²⁰ is an apocalyptic number.

406720 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 406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512064).

406720 is an abundant number, since it is smaller than the sum of its proper divisors (617408).

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

406720 is a wasteful number, since it uses less digits than its factorization.

406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 406720 is about 637.7460309559. The cubic root of 406720 is about 74.0909522033.

The spelling of 406720 in words is "four hundred six thousand, seven hundred twenty".