29474080 has 48 divisors (see below), whose sum is σ = 71346744. Its totient is φ = 11499520.

The previous prime is 29474077. The next prime is 29474131. The reversal of 29474080 is 8047492.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25361296 + 4112784 = 5036^2 + 2028^2 .

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 7 ways as a sum of consecutive naturals, for example, 4314 + ... + 8806.

Almost surely, 2^29474080 is an apocalyptic number.

29474080 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 29474080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35673372).

29474080 is an abundant number, since it is smaller than the sum of its proper divisors (41872664).

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

29474080 is a wasteful number, since it uses less digits than its factorization.

29474080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4549 (or 4541 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 29474080 is about 5429.0035918205. The cubic root of 29474080 is about 308.8968071473.

The spelling of 29474080 in words is "twenty-nine million, four hundred seventy-four thousand, eighty".