484273440 has 288 divisors, whose sum is σ = 1910563200. Its totient is φ = 109412352.

The previous prime is 484273429. The next prime is 484273457. The reversal of 484273440 is 44372484.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 484273395 and 484273404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1078336 + ... + 1078784.

It is an arithmetic number, because the mean of its divisors is an integer number (6633900).

Almost surely, 2^484273440 is an apocalyptic number.

484273440 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 484273440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955281600).

484273440 is an abundant number, since it is smaller than the sum of its proper divisors (1426289760).

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

484273440 is a wasteful number, since it uses less digits than its factorization.

484273440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 484273440 is about 22006.2136679621. The cubic root of 484273440 is about 785.2902708966.

The spelling of 484273440 in words is "four hundred eighty-four million, two hundred seventy-three thousand, four hundred forty".