29470480 has 80 divisors (see below), whose sum is σ = 75620160. Its totient is φ = 10612224.

The previous prime is 29470433. The next prime is 29470489. The reversal of 29470480 is 8407492.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (29470489) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 44391 + ... + 45049.

It is an arithmetic number, because the mean of its divisors is an integer number (945252).

Almost surely, 2^29470480 is an apocalyptic number.

29470480 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 29470480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37810080).

29470480 is an abundant number, since it is smaller than the sum of its proper divisors (46149680).

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

29470480 is a wasteful number, since it uses less digits than its factorization.

29470480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 722 counting only the distinct ones).

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

The square root of 29470480 is about 5428.6720291430. The cubic root of 29470480 is about 308.8842302913.

The spelling of 29470480 in words is "twenty-nine million, four hundred seventy thousand, four hundred eighty".