480267225 has 45 divisors (see below), whose sum is σ = 891451407. Its totient is φ = 255616560.

The previous prime is 480267223. The next prime is 480267233. The reversal of 480267225 is 522762084.

The square root of 480267225 is 21915.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 172896201 + 307371024 = 13149^2 + 17532^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 480267225 - 2¹ = 480267223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 480267225.

It is not an unprimeable number, because it can be changed into a prime (480267223) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 985932 + ... + 986418.

Almost surely, 2^480267225 is an apocalyptic number.

480267225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

480267225 is the 21915-th square number.

480267225 is the 10958-th centered octagonal number.

It is an amenable number.

480267225 is a deficient number, since it is larger than the sum of its proper divisors (411184182).

480267225 is an frugal number, since it uses more digits than its factorization.

480267225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The cubic root of 480267225 is about 783.1187999599.

Multiplying 480267225 by its sum of digits (36), we get a square (17289620100 = 131490²).

It can be divided in two parts, 4802 and 67225, that added together give a palindrome (72027).

The spelling of 480267225 in words is "four hundred eighty million, two hundred sixty-seven thousand, two hundred twenty-five".