392890240 has 64 divisors (see below), whose sum is σ = 942480000. Its totient is φ = 156616704.

The previous prime is 392890217. The next prime is 392890261. The reversal of 392890240 is 42098293.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 392890240.

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 7 ways as a sum of consecutive naturals, for example, 222481 + ... + 224239.

It is an arithmetic number, because the mean of its divisors is an integer number (14726250).

Almost surely, 2^392890240 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 392890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471240000).

392890240 is an abundant number, since it is smaller than the sum of its proper divisors (549589760).

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

392890240 is a wasteful number, since it uses less digits than its factorization.

392890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 392890240 is about 19821.4590784836. The cubic root of 392890240 is about 732.4147469963.

The spelling of 392890240 in words is "three hundred ninety-two million, eight hundred ninety thousand, two hundred forty".