390216000 has 224 divisors, whose sum is σ = 1312346880. Its totient is φ = 102144000.

The previous prime is 390215971. The next prime is 390216019. The reversal of 390216000 is 612093.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1703886 + ... + 1704114.

Almost surely, 2^390216000 is an apocalyptic number.

390216000 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 390216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656173440).

390216000 is an abundant number, since it is smaller than the sum of its proper divisors (922130880).

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

390216000 is a wasteful number, since it uses less digits than its factorization.

390216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 390216000 is about 19753.8856937059. The cubic root of 390216000 is about 730.7492151631.

Adding to 390216000 its reverse (612093), we get a palindrome (390828093).

The spelling of 390216000 in words is "three hundred ninety million, two hundred sixteen thousand".