485343584 has 72 divisors (see below), whose sum is σ = 1058100120. Its totient is φ = 218972160.

The previous prime is 485343569. The next prime is 485343601.

485343584 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 630752 + ... + 631520.

It is an arithmetic number, because the mean of its divisors is an integer number (14695835).

Almost surely, 2^485343584 is an apocalyptic number.

485343584 is a gapful number since it is divisible by the number (44) 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 485343584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529050060).

485343584 is an abundant number, since it is smaller than the sum of its proper divisors (572756536).

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

485343584 is a wasteful number, since it uses less digits than its factorization.

485343584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 945 counting only the distinct ones).

The product of its digits is 921600, while the sum is 44.

The square root of 485343584 is about 22030.5148373795. The cubic root of 485343584 is about 785.8682882892.

The spelling of 485343584 in words is "four hundred eighty-five million, three hundred forty-three thousand, five hundred eighty-four".