484689408 has 160 divisors (see below), whose sum is σ = 1501927680. Its totient is φ = 136028160.

The previous prime is 484689391. The next prime is 484689409. The reversal of 484689408 is 804986484.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484689409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655503 + ... + 656241.

It is an arithmetic number, because the mean of its divisors is an integer number (9387048).

Almost surely, 2^484689408 is an apocalyptic number.

484689408 is a gapful number since it is divisible by the number (48) 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 484689408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750963840).

484689408 is an abundant number, since it is smaller than the sum of its proper divisors (1017238272).

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

484689408 is an equidigital number, since it uses as much as digits as its factorization.

484689408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The square root of 484689408 is about 22015.6627881152. The cubic root of 484689408 is about 785.5150489619.

The spelling of 484689408 in words is "four hundred eighty-four million, six hundred eighty-nine thousand, four hundred eight".