480695220 has 72 divisors (see below), whose sum is σ = 1471074696. Its totient is φ = 127045632.

The previous prime is 480695219. The next prime is 480695227. The reversal of 480695220 is 22596084.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26749584 + 453945636 = 5172^2 + 21306^2 .

It is a super-3 number, since 3×480695220³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480695227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8524 + ... + 32156.

It is an arithmetic number, because the mean of its divisors is an integer number (20431593).

Almost surely, 2^480695220 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 480695220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735537348).

480695220 is an abundant number, since it is smaller than the sum of its proper divisors (990379476).

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

480695220 is a wasteful number, since it uses less digits than its factorization.

480695220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23761 (or 23756 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 480695220 is about 21924.7627125130. The cubic root of 480695220 is about 783.3513589736.

The spelling of 480695220 in words is "four hundred eighty million, six hundred ninety-five thousand, two hundred twenty".