390389240 has 64 divisors (see below), whose sum is σ = 900227520. Its totient is φ = 152320000.

The previous prime is 390389221. The next prime is 390389287. The reversal of 390389240 is 42983093.

It is a junction number, because it is equal to n+sod(n) for n = 390389194 and 390389203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286160 + ... + 287520.

It is an arithmetic number, because the mean of its divisors is an integer number (14066055).

Almost surely, 2^390389240 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 390389240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450113760).

390389240 is an abundant number, since it is smaller than the sum of its proper divisors (509838280).

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

390389240 is a wasteful number, since it uses less digits than its factorization.

390389240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 390389240 is about 19758.2701671983. The cubic root of 390389240 is about 730.8573401198.

The spelling of 390389240 in words is "three hundred ninety million, three hundred eighty-nine thousand, two hundred forty".