390626400 has 144 divisors (see below), whose sum is σ = 1298916864. Its totient is φ = 101921280.

The previous prime is 390626387. The next prime is 390626413. The reversal of 390626400 is 4626093.

It is an interprime number because it is at equal distance from previous prime (390626387) and next prime (390626413).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111069 + ... + 114531.

It is an arithmetic number, because the mean of its divisors is an integer number (9020256).

Almost surely, 2^390626400 is an apocalyptic number.

390626400 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 390626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649458432).

390626400 is an abundant number, since it is smaller than the sum of its proper divisors (908290464).

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

390626400 is a wasteful number, since it uses less digits than its factorization.

390626400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3533 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 390626400 is about 19764.2707935304. The cubic root of 390626400 is about 731.0053078588.

The spelling of 390626400 in words is "three hundred ninety million, six hundred twenty-six thousand, four hundred".