385258384 has 45 divisors (see below), whose sum is σ = 869546001. Its totient is φ = 164875200.

The previous prime is 385258373. The next prime is 385258397. The reversal of 385258384 is 483852583.

It is a happy number.

The square root of 385258384 is 19628.

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

It can be written as a sum of positive squares in only one way, i.e., 332259984 + 52998400 = 18228^2 + 7280^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 549234 + ... + 549934.

Almost surely, 2^385258384 is an apocalyptic number.

385258384 is the 19628-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385258384

385258384 is an abundant number, since it is smaller than the sum of its proper divisors (484287617).

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

385258384 is an frugal number, since it uses more digits than its factorization.

385258384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 710 counting only the distinct ones).

The product of its digits is 921600, while the sum is 46.

The cubic root of 385258384 is about 727.6413420696.

Multiplying 385258384 by its product of digits (921600), we get a square (355054126694400 = 18842880²).

The spelling of 385258384 in words is "three hundred eighty-five million, two hundred fifty-eight thousand, three hundred eighty-four".