392394240 has 320 divisors, whose sum is σ = 1594897920. Its totient is φ = 89579520.

The previous prime is 392394169. The next prime is 392394241. The reversal of 392394240 is 42493293.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 392394195 and 392394204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (392394241) 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, 483435 + ... + 484245.

It is an arithmetic number, because the mean of its divisors is an integer number (4984056).

Almost surely, 2^392394240 is an apocalyptic number.

392394240 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 392394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797448960).

392394240 is an abundant number, since it is smaller than the sum of its proper divisors (1202503680).

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

392394240 is an equidigital number, since it uses as much as digits as its factorization.

392394240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 392394240 is about 19808.9434347216. The cubic root of 392394240 is about 732.1064075358.

The spelling of 392394240 in words is "three hundred ninety-two million, three hundred ninety-four thousand, two hundred forty".