484465024 has 64 divisors (see below), whose sum is σ = 1008967680. Its totient is φ = 231436800.

The previous prime is 484465019. The next prime is 484465043. The reversal of 484465024 is 420564484.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328609 + ... + 330079.

It is an arithmetic number, because the mean of its divisors is an integer number (15765120).

Almost surely, 2^484465024 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 484465024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504483840).

484465024 is an abundant number, since it is smaller than the sum of its proper divisors (524502656).

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

484465024 is a wasteful number, since it uses less digits than its factorization.

484465024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 37.

The square root of 484465024 is about 22010.5661899007. The cubic root of 484465024 is about 785.3938137875.

The spelling of 484465024 in words is "four hundred eighty-four million, four hundred sixty-five thousand, twenty-four".