390205440 has 312 divisors, whose sum is σ = 1418353560. Its totient is φ = 99090432.

The previous prime is 390205433. The next prime is 390205457. The reversal of 390205440 is 44502093.

It can be written as a sum of positive squares in 4 ways, for example, as 50466816 + 339738624 = 7104^2 + 18432^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5345244 + ... + 5345316.

It is an arithmetic number, because the mean of its divisors is an integer number (4546005).

Almost surely, 2^390205440 is an apocalyptic number.

390205440 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 390205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709176780).

390205440 is an abundant number, since it is smaller than the sum of its proper divisors (1028148120).

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

390205440 is a wasteful number, since it uses less digits than its factorization.

390205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 390205440 is about 19753.6184027130. The cubic root of 390205440 is about 730.7426232744.

The spelling of 390205440 in words is "three hundred ninety million, two hundred five thousand, four hundred forty".