29945400 has 96 divisors (see below), whose sum is σ = 96087600. Its totient is φ = 7705600.

The previous prime is 29945369. The next prime is 29945413. The reversal of 29945400 is 454992.

29945400 is nontrivially palindromic in base 9.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16540 + ... + 18260.

Almost surely, 2^29945400 is an apocalyptic number.

29945400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29945400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48043800).

29945400 is an abundant number, since it is smaller than the sum of its proper divisors (66142200).

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

29945400 is a wasteful number, since it uses less digits than its factorization.

29945400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 29945400 is about 5472.2390298670. The cubic root of 29945400 is about 310.5346306810.

The spelling of 29945400 in words is "twenty-nine million, nine hundred forty-five thousand, four hundred".