480779325 has 144 divisors (see below), whose sum is σ = 1004727360. Its totient is φ = 217728000.

The previous prime is 480779323. The next prime is 480779333. The reversal of 480779325 is 523977084.

It is not a de Polignac number, because 480779325 - 2¹ = 480779323 is a prime.

It is a super-3 number, since 3×480779325³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480779323) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2278470 + ... + 2278680.

Almost surely, 2^480779325 is an apocalyptic number.

480779325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

480779325 is an abundant number, since it is smaller than the sum of its proper divisors (523948035).

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

480779325 is a wasteful number, since it uses less digits than its factorization.

480779325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 480779325 is about 21926.6806653447. The cubic root of 480779325 is about 783.3970427535.

The spelling of 480779325 in words is "four hundred eighty million, seven hundred seventy-nine thousand, three hundred twenty-five".