390529440 has 576 divisors, whose sum is σ = 1681295616. Its totient is φ = 80510976.

The previous prime is 390529429. The next prime is 390529441. The reversal of 390529440 is 44925093.

390529440 is a `hidden beast` number, since 3 + 90 + 529 + 4 + 40 = 666.

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 = 390529395 and 390529404.

It is not an unprimeable number, because it can be changed into a prime (390529441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7368454 + ... + 7368506.

It is an arithmetic number, because the mean of its divisors is an integer number (2918916).

Almost surely, 2^390529440 is an apocalyptic number.

390529440 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 390529440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840647808).

390529440 is an abundant number, since it is smaller than the sum of its proper divisors (1290766176).

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

390529440 is a wasteful number, since it uses less digits than its factorization.

390529440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 390529440 is about 19761.8177301583. The cubic root of 390529440 is about 730.9448202763.

The spelling of 390529440 in words is "three hundred ninety million, five hundred twenty-nine thousand, four hundred forty".