484032240 has 160 divisors (see below), whose sum is σ = 1739888640. Its totient is φ = 123450624.

The previous prime is 484032203. The next prime is 484032247. The reversal of 484032240 is 42230484.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484032247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44809 + ... + 54551.

It is an arithmetic number, because the mean of its divisors is an integer number (10874304).

Almost surely, 2^484032240 is an apocalyptic number.

484032240 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 484032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869944320).

484032240 is an abundant number, since it is smaller than the sum of its proper divisors (1255856400).

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

484032240 is a wasteful number, since it uses less digits than its factorization.

484032240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9788 (or 9776 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 484032240 is about 22000.7327150711. The cubic root of 484032240 is about 785.1598738572.

The spelling of 484032240 in words is "four hundred eighty-four million, thirty-two thousand, two hundred forty".