29840900 has 18 divisors (see below), whose sum is σ = 64754970. Its totient is φ = 11936320.

The previous prime is 29840897. The next prime is 29840939. The reversal of 29840900 is 904892.

It can be written as a sum of positive squares in 3 ways, for example, as 399424 + 29441476 = 632^2 + 5426^2 .

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 5 ways as a sum of consecutive naturals, for example, 149105 + ... + 149304.

Almost surely, 2^29840900 is an apocalyptic number.

29840900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29840900 is an abundant number, since it is smaller than the sum of its proper divisors (34914070).

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

29840900 is a wasteful number, since it uses less digits than its factorization.

29840900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298423 (or 298416 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 29840900 is about 5462.6824912308. The cubic root of 29840900 is about 310.1729870448.

The spelling of 29840900 in words is "twenty-nine million, eight hundred forty thousand, nine hundred".