392022144 has 48 divisors (see below), whose sum is σ = 1128087870. Its totient is φ = 130673664.

The previous prime is 392022133. The next prime is 392022217. The reversal of 392022144 is 441220293.

It can be written as a sum of positive squares in only one way, i.e., 292820544 + 99201600 = 17112^2 + 9960^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×392022144² = 307362722772713472, which contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 168997 + ... + 171300.

Almost surely, 2^392022144 is an apocalyptic number.

It is an amenable number.

392022144 is an abundant number, since it is smaller than the sum of its proper divisors (736065726).

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

392022144 is a wasteful number, since it uses less digits than its factorization.

392022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340317 (or 340302 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 392022144 is about 19799.5490857747. The cubic root of 392022144 is about 731.8749226406.

The spelling of 392022144 in words is "three hundred ninety-two million, twenty-two thousand, one hundred forty-four".