390989052 has 192 divisors, whose sum is σ = 1149603840. Its totient is φ = 114250752.

The previous prime is 390989017. The next prime is 390989057. The reversal of 390989052 is 250989093.

It is a junction number, because it is equal to n+sod(n) for n = 390988989 and 390989007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390989057) 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, 1984618 + ... + 1984814.

It is an arithmetic number, because the mean of its divisors is an integer number (5987520).

Almost surely, 2^390989052 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 390989052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574801920).

390989052 is an abundant number, since it is smaller than the sum of its proper divisors (758614788).

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

390989052 is a wasteful number, since it uses less digits than its factorization.

390989052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 390989052 is about 19773.4430992683. The cubic root of 390989052 is about 731.2314562030.

The spelling of 390989052 in words is "three hundred ninety million, nine hundred eighty-nine thousand, fifty-two".