470120 has 64 divisors (see below), whose sum is σ = 1278720. Its totient is φ = 152064.

The previous prime is 470089. The next prime is 470131. The reversal of 470120 is 21074.

It is a happy number.

470120 is nontrivially palindromic in base 3.

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

It is a junction number, because it is equal to n+sod(n) for n = 470095 and 470104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6404 + ... + 6476.

It is an arithmetic number, because the mean of its divisors is an integer number (19980).

2⁴⁷⁰¹²⁰ is an apocalyptic number.

470120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

470120 is the 560-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639360).

470120 is an abundant number, since it is smaller than the sum of its proper divisors (808600).

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

470120 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (470119) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (114).

470120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 110 counting only the distinct ones).

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

The square root of 470120 is about 685.6529734494. The cubic root of 470120 is about 77.7564174147.

Adding to 470120 its reverse (21074), we get a palindrome (491194).

The spelling of 470120 in words is "four hundred seventy thousand, one hundred twenty", and thus it is an iban number.