386948241 has 27 divisors (see below), whose sum is σ = 572992329. Its totient is φ = 251631432.

The previous prime is 386948239. The next prime is 386948267. The reversal of 386948241 is 142849683.

It is a happy number.

The square root of 386948241 is 19671.

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

It is not a de Polignac number, because 386948241 - 2¹ = 386948239 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (386948291) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4661986 + ... + 4662068.

Almost surely, 2^386948241 is an apocalyptic number.

386948241 is the 19671-st square number.

386948241 is the 9836-th centered octagonal number.

It is an amenable number.

386948241 is a deficient number, since it is larger than the sum of its proper divisors (186044088).

386948241 is an frugal number, since it uses more digits than its factorization.

386948241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 165 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The cubic root of 386948241 is about 728.7036735887.

Multiplying 386948241 by its product of digits (331776), we get a square (128380139606016 = 11330496²).

The spelling of 386948241 in words is "three hundred eighty-six million, nine hundred forty-eight thousand, two hundred forty-one".