390880600 has 96 divisors (see below), whose sum is σ = 999936000. Its totient is φ = 140918400.

The previous prime is 390880573. The next prime is 390880601. The reversal of 390880600 is 6088093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390880601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278701 + ... + 280099.

It is an arithmetic number, because the mean of its divisors is an integer number (10416000).

Almost surely, 2^390880600 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 390880600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499968000).

390880600 is an abundant number, since it is smaller than the sum of its proper divisors (609055400).

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

390880600 is a wasteful number, since it uses less digits than its factorization.

390880600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 390880600 is about 19770.7005439868. The cubic root of 390880600 is about 731.1638406291.

The spelling of 390880600 in words is "three hundred ninety million, eight hundred eighty thousand, six hundred".