484227072 has 288 divisors, whose sum is σ = 1669449600. Its totient is φ = 137355264.

The previous prime is 484227061. The next prime is 484227091. The reversal of 484227072 is 270722484.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3483579 + ... + 3483717.

It is an arithmetic number, because the mean of its divisors is an integer number (5796700).

Almost surely, 2^484227072 is an apocalyptic number.

484227072 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 484227072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834724800).

484227072 is an abundant number, since it is smaller than the sum of its proper divisors (1185222528).

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

484227072 is an equidigital number, since it uses as much as digits as its factorization.

484227072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 484227072 is about 22005.1601221168. The cubic root of 484227072 is about 785.2652068877.

The spelling of 484227072 in words is "four hundred eighty-four million, two hundred twenty-seven thousand, seventy-two".