407920 has 20 divisors (see below), whose sum is σ = 948600. Its totient is φ = 163136.

The previous prime is 407917. The next prime is 407923. The reversal of 407920 is 29704.

407920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (407917) and next prime (407923).

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 407891 and 407900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2470 + ... + 2629.

It is an arithmetic number, because the mean of its divisors is an integer number (47430).

2⁴⁰⁷⁹²⁰ is an apocalyptic number.

407920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407920 is an abundant number, since it is smaller than the sum of its proper divisors (540680).

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

407920 is a wasteful number, since it uses less digits than its factorization.

407920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5112 (or 5106 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 407920 is about 638.6861514077. The cubic root of 407920 is about 74.1637474478.

The spelling of 407920 in words is "four hundred seven thousand, nine hundred twenty".