29480400 has 180 divisors, whose sum is σ = 107939520. Its totient is φ = 7430400.

The previous prime is 29480387. The next prime is 29480401. The reversal of 29480400 is 408492.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29480401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68185 + ... + 68615.

It is an arithmetic number, because the mean of its divisors is an integer number (599664).

Almost surely, 2^29480400 is an apocalyptic number.

29480400 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 29480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53969760).

29480400 is an abundant number, since it is smaller than the sum of its proper divisors (78459120).

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

29480400 is a wasteful number, since it uses less digits than its factorization.

29480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 29480400 is about 5429.5856195478. The cubic root of 29480400 is about 308.9188840400.

Adding to 29480400 its reverse (408492), we get a palindrome (29888892).

The spelling of 29480400 in words is "twenty-nine million, four hundred eighty thousand, four hundred".