484756020 has 432 divisors, whose sum is σ = 1875536208. Its totient is φ = 100638720.

The previous prime is 484756009. The next prime is 484756031. The reversal of 484756020 is 20657484.

484756020 is a `hidden beast` number, since 4 + 8 + 47 + 5 + 602 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (484756009) and next prime (484756031).

It can be written as a sum of positive squares in 8 ways, for example, as 5934096 + 478821924 = 2436^2 + 21882^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7946790 + ... + 7946850.

It is an arithmetic number, because the mean of its divisors is an integer number (4341519).

Almost surely, 2^484756020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484756020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937768104).

484756020 is an abundant number, since it is smaller than the sum of its proper divisors (1390780188).

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

484756020 is a wasteful number, since it uses less digits than its factorization.

484756020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 484756020 is about 22017.1755681786. The cubic root of 484756020 is about 785.5510323709.

The spelling of 484756020 in words is "four hundred eighty-four million, seven hundred fifty-six thousand, twenty".