384356025 has 27 divisors (see below), whose sum is σ = 688951471. Its totient is φ = 204833040.

The previous prime is 384355981. The next prime is 384356057. The reversal of 384356025 is 520653483.

It is a happy number.

The square root of 384356025 is 19605.

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

384356025 is a `hidden beast` number, since 3 + 8 + 43 + 5 + 602 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 138368169 + 245987856 = 11763^2 + 15684^2 .

It is not a de Polignac number, because 384356025 - 2⁷ = 384355897 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 293422 + ... + 294728.

Almost surely, 2^384356025 is an apocalyptic number.

384356025 is the 19605-th square number.

384356025 is the 9803-rd centered octagonal number.

It is an amenable number.

384356025 is a deficient number, since it is larger than the sum of its proper divisors (304595446).

384356025 is an equidigital number, since it uses as much as digits as its factorization.

384356025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The cubic root of 384356025 is about 727.0727998153.

Multiplying 384356025 by its sum of digits (36), we get a square (13836816900 = 117630²).

It can be divided in two parts, 384 and 356025, that added together give a square (356409 = 597²).

The spelling of 384356025 in words is "three hundred eighty-four million, three hundred fifty-six thousand, twenty-five".