480504960 has 640 divisors, whose sum is σ = 1990517760. Its totient is φ = 109486080.

The previous prime is 480504931. The next prime is 480504961. The reversal of 480504960 is 69405084.

It is a tau number, because it is divible by the number of its divisors (640).

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 (480504961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15500145 + ... + 15500175.

It is an arithmetic number, because the mean of its divisors is an integer number (3110184).

Almost surely, 2^480504960 is an apocalyptic number.

480504960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995258880).

480504960 is an abundant number, since it is smaller than the sum of its proper divisors (1510012800).

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

480504960 is a wasteful number, since it uses less digits than its factorization.

480504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 77 counting only the distinct ones).

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

The square root of 480504960 is about 21920.4233535760. The cubic root of 480504960 is about 783.2479947272.

It can be divided in two parts, 48050 and 4960, that multiplied together give a cube (238328000 = 620³).

The spelling of 480504960 in words is "four hundred eighty million, five hundred four thousand, nine hundred sixty".