390406200 has 96 divisors (see below), whose sum is σ = 1219743360. Its totient is φ = 103292800.

The previous prime is 390406189. The next prime is 390406201. The reversal of 390406200 is 2604093.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390406201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 76117 + ... + 81083.

It is an arithmetic number, because the mean of its divisors is an integer number (12705660).

Almost surely, 2^390406200 is an apocalyptic number.

390406200 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 390406200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609871680).

390406200 is an abundant number, since it is smaller than the sum of its proper divisors (829337160).

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

390406200 is a wasteful number, since it uses less digits than its factorization.

390406200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5117 (or 5108 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 390406200 is about 19758.6993499066. The cubic root of 390406200 is about 730.8679237116.

The spelling of 390406200 in words is "three hundred ninety million, four hundred six thousand, two hundred".