390629000 has 64 divisors (see below), whose sum is σ = 917008560. Its totient is φ = 155750400.

The previous prime is 390628993. The next prime is 390629003. The reversal of 390629000 is 926093.

It can be written as a sum of positive squares in 8 ways, for example, as 234028804 + 156600196 = 15298^2 + 12514^2 .

It is not an unprimeable number, because it can be changed into a prime (390629003) 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 15 ways as a sum of consecutive naturals, for example, 576662 + ... + 577338.

Almost surely, 2^390629000 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 390629000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458504280).

390629000 is an abundant number, since it is smaller than the sum of its proper divisors (526379560).

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

390629000 is a wasteful number, since it uses less digits than its factorization.

390629000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 390629000 is about 19764.3365686784. The cubic root of 390629000 is about 731.0069297065.

The spelling of 390629000 in words is "three hundred ninety million, six hundred twenty-nine thousand".