329083950 has 48 divisors (see below), whose sum is σ = 878912496. Its totient is φ = 81004800.

The previous prime is 329083907. The next prime is 329083973. The reversal of 329083950 is 59380923.

It is a super-2 number, since 2×329083950² = 216592492295205000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 329083899 and 329083908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82431 + ... + 86330.

It is an arithmetic number, because the mean of its divisors is an integer number (18310677).

Almost surely, 2^329083950 is an apocalyptic number.

329083950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

329083950 is an abundant number, since it is smaller than the sum of its proper divisors (549828546).

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

329083950 is a wasteful number, since it uses less digits than its factorization.

329083950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168789 (or 168784 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 329083950 is about 18140.6711562720. The cubic root of 329083950 is about 690.4023068709.

It can be divided in two parts, 329083 and 950, that added together give a palindrome (330033).

The spelling of 329083950 in words is "three hundred twenty-nine million, eighty-three thousand, nine hundred fifty".