482477184 has 384 divisors, whose sum is σ = 1731225600. Its totient is φ = 125908992.

The previous prime is 482477183. The next prime is 482477189. The reversal of 482477184 is 481774284.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (482477183) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7201119 + ... + 7201185.

It is an arithmetic number, because the mean of its divisors is an integer number (4508400).

Almost surely, 2^482477184 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 482477184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865612800).

482477184 is an abundant number, since it is smaller than the sum of its proper divisors (1248748416).

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

482477184 is a wasteful number, since it uses less digits than its factorization.

482477184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 145 counting only the distinct ones).

The product of its digits is 401408, while the sum is 45.

The square root of 482477184 is about 21965.3632794907. The cubic root of 482477184 is about 784.3181410486.

It can be divided in two parts, 4824 and 77184, that multiplied together give a square (372335616 = 19296²).

The spelling of 482477184 in words is "four hundred eighty-two million, four hundred seventy-seven thousand, one hundred eighty-four".