407120 has 40 divisors (see below), whose sum is σ = 1083264. Its totient is φ = 139392.

The previous prime is 407119. The next prime is 407137. The reversal of 407120 is 21704.

It is a happy number.

407120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 407095 and 407104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197 + ... + 923.

2⁴⁰⁷¹²⁰ is an apocalyptic number.

407120 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 407120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541632).

407120 is an abundant number, since it is smaller than the sum of its proper divisors (676144).

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

407120 is a wasteful number, since it uses less digits than its factorization.

407120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 407120 is about 638.0595583486. The cubic root of 407120 is about 74.1152331752.

Adding to 407120 its reverse (21704), we get a palindrome (428824).

The spelling of 407120 in words is "four hundred seven thousand, one hundred twenty", and thus it is an iban number.