29930400 has 108 divisors (see below), whose sum is σ = 105567462. Its totient is φ = 7979520.

The previous prime is 29930393. The next prime is 29930449. The reversal of 29930400 is 403992.

It can be written as a sum of positive squares in 3 ways, for example, as 21566736 + 8363664 = 4644^2 + 2892^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 17 ways as a sum of consecutive naturals, for example, 5122 + ... + 9278.

Almost surely, 2^29930400 is an apocalyptic number.

29930400 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 29930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52783731).

29930400 is an abundant number, since it is smaller than the sum of its proper divisors (75637062).

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

29930400 is a wasteful number, since it uses less digits than its factorization.

29930400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4183 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 29930400 is about 5470.8683040263. The cubic root of 29930400 is about 310.4827718821.

The spelling of 29930400 in words is "twenty-nine million, nine hundred thirty thousand, four hundred".