392872040 has 128 divisors (see below), whose sum is σ = 1041361920. Its totient is φ = 131788800.

The previous prime is 392872027. The next prime is 392872043. The reversal of 392872040 is 40278293.

It is a Cunningham number, because it is equal to 19821²-1.

It is not an unprimeable number, because it can be changed into a prime (392872043) 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 31 ways as a sum of consecutive naturals, for example, 395945 + ... + 396935.

It is an arithmetic number, because the mean of its divisors is an integer number (8135640).

Almost surely, 2^392872040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 392872040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520680960).

392872040 is an abundant number, since it is smaller than the sum of its proper divisors (648489880).

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

392872040 is a wasteful number, since it uses less digits than its factorization.

392872040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 392872040 is about 19820.9999747742. Note that the first 4 decimals coincide. The cubic root of 392872040 is about 732.4034375152.

The spelling of 392872040 in words is "three hundred ninety-two million, eight hundred seventy-two thousand, forty".