392730240 has 128 divisors (see below), whose sum is σ = 1430709120. Its totient is φ = 89763840.

The previous prime is 392730131. The next prime is 392730263. The reversal of 392730240 is 42037293.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 392730198 and 392730207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1171 + ... + 28050.

It is an arithmetic number, because the mean of its divisors is an integer number (11177415).

Almost surely, 2^392730240 is an apocalyptic number.

392730240 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 392730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715354560).

392730240 is an abundant number, since it is smaller than the sum of its proper divisors (1037978880).

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

392730240 is a wasteful number, since it uses less digits than its factorization.

392730240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29250 (or 29238 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 392730240 is about 19817.4226376691. The cubic root of 392730240 is about 732.3153110226.

The spelling of 392730240 in words is "three hundred ninety-two million, seven hundred thirty thousand, two hundred forty".