392049 has 24 divisors (see below), whose sum is σ = 665600. Its totient is φ = 222264.

The previous prime is 392033. The next prime is 392053. The reversal of 392049 is 940293.

392049 = T₆ + T₇ + ... + T₁₃₂.

It is not a de Polignac number, because 392049 - 2⁴ = 392033 is a prime.

It is a Duffinian number.

392049 is a lucky number.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (392059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3024 + ... + 3150.

2³⁹²⁰⁴⁹ is an apocalyptic number.

It is an amenable number.

392049 is a deficient number, since it is larger than the sum of its proper divisors (273551).

392049 is a wasteful number, since it uses less digits than its factorization.

392049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 392049 is about 626.1381636668. The cubic root of 392049 is about 73.1891634948.

It can be divided in two parts, 39204 and 9, that multiplied together give a square (352836 = 594²).

The spelling of 392049 in words is "three hundred ninety-two thousand, forty-nine".