484186752 has 192 divisors, whose sum is σ = 1611355200. Its totient is φ = 136691712.

The previous prime is 484186739. The next prime is 484186811. The reversal of 484186752 is 257681484.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 484186698 and 484186707.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 781899 + ... + 782517.

It is an arithmetic number, because the mean of its divisors is an integer number (8392475).

Almost surely, 2^484186752 is an apocalyptic number.

484186752 is a gapful number since it is divisible by the number (42) 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 484186752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805677600).

484186752 is an abundant number, since it is smaller than the sum of its proper divisors (1127168448).

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

484186752 is a wasteful number, since it uses less digits than its factorization.

484186752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 728 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 484186752 is about 22004.2439542921. The cubic root of 484186752 is about 785.2434107967.

The spelling of 484186752 in words is "four hundred eighty-four million, one hundred eighty-six thousand, seven hundred fifty-two".