484083072 has 96 divisors (see below), whose sum is σ = 1519675560. Its totient is φ = 146688000.

The previous prime is 484083071. The next prime is 484083077. The reversal of 484083072 is 270380484.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484083071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6429 + ... + 31772.

Almost surely, 2^484083072 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 484083072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759837780).

484083072 is an abundant number, since it is smaller than the sum of its proper divisors (1035592488).

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

484083072 is a wasteful number, since it uses less digits than its factorization.

484083072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38232 (or 38217 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 484083072 is about 22001.8879189946. The cubic root of 484083072 is about 785.1873581488.

The spelling of 484083072 in words is "four hundred eighty-four million, eighty-three thousand, seventy-two".