392135040 has 256 divisors, whose sum is σ = 1515801600. Its totient is φ = 95016960.

The previous prime is 392134999. The next prime is 392135057. The reversal of 392135040 is 40531293.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 392134995 and 392135013.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 189049 + ... + 191111.

It is an arithmetic number, because the mean of its divisors is an integer number (5921100).

Almost surely, 2^392135040 is an apocalyptic number.

392135040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 392135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757900800).

392135040 is an abundant number, since it is smaller than the sum of its proper divisors (1123666560).

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

392135040 is a wasteful number, since it uses less digits than its factorization.

392135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 392135040 is about 19802.3998545631. The cubic root of 392135040 is about 731.9451719213.

It can be divided in two parts, 39213 and 5040, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 392135040 in words is "three hundred ninety-two million, one hundred thirty-five thousand, forty".