484075008 has 240 divisors, whose sum is σ = 1527870960. Its totient is φ = 151289856.

The previous prime is 484075001. The next prime is 484075019. The reversal of 484075008 is 800570484.

It is a super-2 number, since 2×484075008² = 468657226740400128, which contains 22 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 not an unprimeable number, because it can be changed into a prime (484075001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4990416 + ... + 4990512.

It is an arithmetic number, because the mean of its divisors is an integer number (6366129).

Almost surely, 2^484075008 is an apocalyptic number.

484075008 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 484075008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763935480).

484075008 is an abundant number, since it is smaller than the sum of its proper divisors (1043795952).

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

484075008 is an equidigital number, since it uses as much as digits as its factorization.

484075008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 484075008 is about 22001.7046612302. The cubic root of 484075008 is about 785.1829981629.

The spelling of 484075008 in words is "four hundred eighty-four million, seventy-five thousand, eight".