29474022400 has 297 divisors, whose sum is σ = 77766363129. Its totient is φ = 11075420160.

The previous prime is 29474022353. The next prime is 29474022407. The reversal of 29474022400 is 422047492.

It is a happy number.

The square root of 29474022400 is 171680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 5525840896 + 23948181504 = 74336^2 + 154752^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29474022407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 796595182 + ... + 796595218.

Almost surely, 2^29474022400 is an apocalyptic number.

29474022400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29474022400 is the 171680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29474022400

29474022400 is an abundant number, since it is smaller than the sum of its proper divisors (48292340729).

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

29474022400 is an equidigital number, since it uses as much as digits as its factorization.

29474022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

Adding to 29474022400 its reverse (422047492), we get a palindrome (29896069892).

The spelling of 29474022400 in words is "twenty-nine billion, four hundred seventy-four million, twenty-two thousand, four hundred".