29880480 has 96 divisors (see below), whose sum is σ = 107581824. Its totient is φ = 6829056.

The previous prime is 29880479. The next prime is 29880493. The reversal of 29880480 is 8408892.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1087 + ... + 7806.

It is an arithmetic number, because the mean of its divisors is an integer number (1120644).

Almost surely, 2^29880480 is an apocalyptic number.

29880480 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 29880480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53790912).

29880480 is an abundant number, since it is smaller than the sum of its proper divisors (77701344).

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

29880480 is a wasteful number, since it uses less digits than its factorization.

29880480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8918 (or 8910 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 29880480 is about 5466.3040530142. The cubic root of 29880480 is about 310.3100609159.

The spelling of 29880480 in words is "twenty-nine million, eight hundred eighty thousand, four hundred eighty".