480713184 has 192 divisors, whose sum is σ = 1629895680. Its totient is φ = 134991360.

The previous prime is 480713173. The next prime is 480713203. The reversal of 480713184 is 481317084.

480713184 is a `hidden beast` number, since 480 + 71 + 31 + 84 = 666.

It is a super-3 number, since 3×480713184³ (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368277 + ... + 369579.

It is an arithmetic number, because the mean of its divisors is an integer number (8489040).

Almost surely, 2^480713184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480713184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814947840).

480713184 is an abundant number, since it is smaller than the sum of its proper divisors (1149182496).

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

480713184 is a wasteful number, since it uses less digits than its factorization.

480713184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 480713184 is about 21925.1723824466. The cubic root of 480713184 is about 783.3611170267.

The spelling of 480713184 in words is "four hundred eighty million, seven hundred thirteen thousand, one hundred eighty-four".