480614772 has 48 divisors (see below), whose sum is σ = 1240166592. Its totient is φ = 143642880.

The previous prime is 480614753. The next prime is 480614773. The reversal of 480614772 is 277416084.

It is a super-3 number, since 3×480614772³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 480614772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480614773) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15303 + ... + 34574.

It is an arithmetic number, because the mean of its divisors is an integer number (25836804).

Almost surely, 2^480614772 is an apocalyptic number.

It is an amenable number.

480614772 is an abundant number, since it is smaller than the sum of its proper divisors (759551820).

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

480614772 is a wasteful number, since it uses less digits than its factorization.

480614772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49968 (or 49966 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 480614772 is about 21922.9279978747. The cubic root of 480614772 is about 783.3076566001.

The spelling of 480614772 in words is "four hundred eighty million, six hundred fourteen thousand, seven hundred seventy-two".