390752208 has 320 divisors, whose sum is σ = 1482762240. Its totient is φ = 95385600.

The previous prime is 390752207. The next prime is 390752231. The reversal of 390752208 is 802257093.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390752207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 565143 + ... + 565833.

It is an arithmetic number, because the mean of its divisors is an integer number (4633632).

Almost surely, 2^390752208 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 390752208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741381120).

390752208 is an abundant number, since it is smaller than the sum of its proper divisors (1092010032).

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

390752208 is a wasteful number, since it uses less digits than its factorization.

390752208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 390752208 is about 19767.4532502293. The cubic root of 390752208 is about 731.0837770768.

The spelling of 390752208 in words is "three hundred ninety million, seven hundred fifty-two thousand, two hundred eight".