480919320 has 288 divisors, whose sum is σ = 1840644000. Its totient is φ = 108573696.

The previous prime is 480919301. The next prime is 480919321. The reversal of 480919320 is 23919084.

480919320 is a `hidden beast` number, since 480 + 91 + 93 + 2 + 0 = 666.

It is a super-3 number, since 3×480919320³ (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 (480919321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2416581 + ... + 2416779.

It is an arithmetic number, because the mean of its divisors is an integer number (6391125).

Almost surely, 2^480919320 is an apocalyptic number.

480919320 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 480919320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920322000).

480919320 is an abundant number, since it is smaller than the sum of its proper divisors (1359724680).

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

480919320 is a wasteful number, since it uses less digits than its factorization.

480919320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 480919320 is about 21929.8727766488. The cubic root of 480919320 is about 783.4730728018.

The spelling of 480919320 in words is "four hundred eighty million, nine hundred nineteen thousand, three hundred twenty".