484756272 has 640 divisors, whose sum is σ = 1999872000. Its totient is φ = 108241920.

The previous prime is 484756249. The next prime is 484756289. The reversal of 484756272 is 272657484.

It is a happy number.

484756272 is a `hidden beast` number, since 4 + 84 + 7 + 562 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8216179 + ... + 8216237.

It is an arithmetic number, because the mean of its divisors is an integer number (3124800).

Almost surely, 2^484756272 is an apocalyptic number.

484756272 is a gapful number since it is divisible by the number (42) 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 484756272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999936000).

484756272 is an abundant number, since it is smaller than the sum of its proper divisors (1515115728).

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

484756272 is a wasteful number, since it uses less digits than its factorization.

484756272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 484756272 is about 22017.1812909827. The cubic root of 484756272 is about 785.5511684936.

The spelling of 484756272 in words is "four hundred eighty-four million, seven hundred fifty-six thousand, two hundred seventy-two".