393129690 has 64 divisors (see below), whose sum is σ = 958003200. Its totient is φ = 103238720.

The previous prime is 393129637. The next prime is 393129697. The reversal of 393129690 is 96921393.

It is a happy number.

It is a super-2 number, since 2×393129690² = 309101906318992200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (393129697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656011 + ... + 656609.

It is an arithmetic number, because the mean of its divisors is an integer number (14968800).

Almost surely, 2^393129690 is an apocalyptic number.

393129690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

393129690 is an abundant number, since it is smaller than the sum of its proper divisors (564873510).

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

393129690 is a wasteful number, since it uses less digits than its factorization.

393129690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907.

The product of its (nonzero) digits is 78732, while the sum is 42.

The square root of 393129690 is about 19827.4983293405. The cubic root of 393129690 is about 732.5635087259.

The spelling of 393129690 in words is "three hundred ninety-three million, one hundred twenty-nine thousand, six hundred ninety".