29485800 has 72 divisors (see below), whose sum is σ = 99029190. Its totient is φ = 7862400.

The previous prime is 29485787. The next prime is 29485801. The reversal of 29485800 is 858492.

It can be written as a sum of positive squares in 3 ways, for example, as 10771524 + 18714276 = 3282^2 + 4326^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (29485801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6391 + ... + 9990.

Almost surely, 2^29485800 is an apocalyptic number.

29485800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29485800 is an abundant number, since it is smaller than the sum of its proper divisors (69543390).

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

29485800 is a wasteful number, since it uses less digits than its factorization.

29485800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16403 (or 16391 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 29485800 is about 5430.0828722958. The cubic root of 29485800 is about 308.9377447082.

The spelling of 29485800 in words is "twenty-nine million, four hundred eighty-five thousand, eight hundred".