484290240 has 224 divisors, whose sum is σ = 1850257920. Its totient is φ = 104841216.

The previous prime is 484290217. The next prime is 484290263. The reversal of 484290240 is 42092484.

It is an interprime number because it is at equal distance from previous prime (484290217) and next prime (484290263).

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125784 + ... + 129576.

It is an arithmetic number, because the mean of its divisors is an integer number (8260080).

Almost surely, 2^484290240 is an apocalyptic number.

484290240 is a gapful number since it is divisible by the number (40) 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 484290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925128960).

484290240 is an abundant number, since it is smaller than the sum of its proper divisors (1365967680).

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

484290240 is a wasteful number, since it uses less digits than its factorization.

484290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3839 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 484290240 is about 22006.5953750234. The cubic root of 484290240 is about 785.2993516645.

The spelling of 484290240 in words is "four hundred eighty-four million, two hundred ninety thousand, two hundred forty".