29948480 has 56 divisors (see below), whose sum is σ = 73639680. Its totient is φ = 11589120.

The previous prime is 29948473. The next prime is 29948497. The reversal of 29948480 is 8484992.

It is a happy number.

It is a super-2 number, since 2×29948480² = 1793822908620800, which contains 22 as substring.

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, 8411 + ... + 11429.

Almost surely, 2^29948480 is an apocalyptic number.

29948480 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 29948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36819840).

29948480 is an abundant number, since it is smaller than the sum of its proper divisors (43691200).

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

29948480 is a wasteful number, since it uses less digits than its factorization.

29948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 29948480 is about 5472.5204430865. The cubic root of 29948480 is about 310.5452768778.

The spelling of 29948480 in words is "twenty-nine million, nine hundred forty-eight thousand, four hundred eighty".