390882240 has 448 divisors, whose sum is σ = 1650309120. Its totient is φ = 85155840.

The previous prime is 390882229. The next prime is 390882253. The reversal of 390882240 is 42288093.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 390882195 and 390882204.

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 63 ways as a sum of consecutive naturals, for example, 1390900 + ... + 1391180.

Almost surely, 2^390882240 is an apocalyptic number.

390882240 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 390882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825154560).

390882240 is an abundant number, since it is smaller than the sum of its proper divisors (1259426880).

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

390882240 is a wasteful number, since it uses less digits than its factorization.

390882240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 390882240 is about 19770.7420194590. The cubic root of 390882240 is about 731.1648631980.

It can be divided in two parts, 39088 and 2240, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 390882240 in words is "three hundred ninety million, eight hundred eighty-two thousand, two hundred forty".