484083936 has 108 divisors (see below), whose sum is σ = 1601413632. Its totient is φ = 138305664.

The previous prime is 484083923. The next prime is 484083949. The reversal of 484083936 is 639380484.

484083936 is a `hidden beast` number, since 484 + 0 + 83 + 93 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (484083923) and next prime (484083949).

It is a junction number, because it is equal to n+sod(n) for n = 484083891 and 484083900.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 3040 + ... + 31263.

It is an arithmetic number, because the mean of its divisors is an integer number (14827904).

Almost surely, 2^484083936 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 484083936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800706816).

484083936 is an abundant number, since it is smaller than the sum of its proper divisors (1117329696).

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

484083936 is a wasteful number, since it uses less digits than its factorization.

484083936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34333 (or 34315 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 484083936 is about 22001.9075536645. The cubic root of 484083936 is about 785.1878252872.

The spelling of 484083936 in words is "four hundred eighty-four million, eighty-three thousand, nine hundred thirty-six".