485409024 has 243 divisors, whose sum is σ = 1543826557. Its totient is φ = 152285184.

The previous prime is 485408993. The next prime is 485409061. The reversal of 485409024 is 420904584.

The square root of 485409024 is 22032.

It is a perfect power (a square), and thus also a powerful number.

485409024 is a `hidden beast` number, since 4 + 8 + 540 + 90 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 377913600 + 107495424 = 19440^2 + 10368^2 .

It is a tau number, because it is divible by the number of its divisors (243).

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 485409024.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28553464 + ... + 28553480.

Almost surely, 2^485409024 is an apocalyptic number.

485409024 is the 22032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485409024

485409024 is an abundant number, since it is smaller than the sum of its proper divisors (1058417533).

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

485409024 is an frugal number, since it uses more digits than its factorization.

485409024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The cubic root of 485409024 is about 785.9036068493.

Multiplying 485409024 by its sum of digits (36), we get a square (17474724864 = 132192²).

485409024 divided by its sum of digits (36) gives a square (13483584 = 3672²).

The spelling of 485409024 in words is "four hundred eighty-five million, four hundred nine thousand, twenty-four".