484088440 has 64 divisors (see below), whose sum is σ = 1197711360. Its totient is φ = 174625920.

The previous prime is 484088431. The next prime is 484088461. The reversal of 484088440 is 44880484.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 484088393 and 484088402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51549 + ... + 60211.

It is an arithmetic number, because the mean of its divisors is an integer number (18714240).

Almost surely, 2^484088440 is an apocalyptic number.

484088440 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 484088440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598855680).

484088440 is an abundant number, since it is smaller than the sum of its proper divisors (713622920).

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

484088440 is a wasteful number, since it uses less digits than its factorization.

484088440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8812 (or 8808 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 484088440 is about 22002.0099081879. The cubic root of 484088440 is about 785.1902604538.

The spelling of 484088440 in words is "four hundred eighty-four million, eighty-eight thousand, four hundred forty".