407820 has 48 divisors (see below), whose sum is σ = 1306368. Its totient is φ = 93120.

The previous prime is 407807. The next prime is 407821. The reversal of 407820 is 28704.

It is a happy number.

407820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 407820.

It is not an unprimeable number, because it can be changed into a prime (407821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66 + ... + 905.

It is an arithmetic number, because the mean of its divisors is an integer number (27216).

2⁴⁰⁷⁸²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653184).

407820 is an abundant number, since it is smaller than the sum of its proper divisors (898548).

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

407820 is a wasteful number, since it uses less digits than its factorization.

407820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 407820 is about 638.6078608974. The cubic root of 407820 is about 74.1576866346.

The spelling of 407820 in words is "four hundred seven thousand, eight hundred twenty".