407220 has 48 divisors (see below), whose sum is σ = 1245888. Its totient is φ = 98560.

The previous prime is 407219. The next prime is 407221. The reversal of 407220 is 22704.

It is an interprime number because it is at equal distance from previous prime (407219) and next prime (407221).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 407220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407221) 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, 352 + ... + 968.

It is an arithmetic number, because the mean of its divisors is an integer number (25956).

2⁴⁰⁷²²⁰ 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 407220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622944).

407220 is an abundant number, since it is smaller than the sum of its proper divisors (838668).

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

407220 is a wasteful number, since it uses less digits than its factorization.

407220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 407220 is about 638.1379161279. The cubic root of 407220 is about 74.1213009329.

Adding to 407220 its reverse (22704), we get a palindrome (429924).

It can be divided in two parts, 40 and 7220, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 407220 in words is "four hundred seven thousand, two hundred twenty", and thus it is an iban number.