393824025 has 135 divisors (see below), whose sum is σ = 854503871. Its totient is φ = 180033840.

The previous prime is 393824017. The next prime is 393824087. The reversal of 393824025 is 520428393.

The square root of 393824025 is 19845.

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

393824025 is a `hidden beast` number, since 393 + 8 + 240 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 141776649 + 252047376 = 11907^2 + 15876^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 393824025 - 2³ = 393824017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 56260572 + ... + 56260578.

Almost surely, 2^393824025 is an apocalyptic number.

393824025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

393824025 is the 19845-th square number.

393824025 is the 9923-rd centered octagonal number.

It is an amenable number.

393824025 is an abundant number, since it is smaller than the sum of its proper divisors (460679846).

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

393824025 is an frugal number, since it uses more digits than its factorization.

393824025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The cubic root of 393824025 is about 732.9945330069.

Multiplying 393824025 by its sum of digits (36), we get a square (14177664900 = 119070²).

The spelling of 393824025 in words is "three hundred ninety-three million, eight hundred twenty-four thousand, twenty-five".