29950480 has 80 divisors (see below), whose sum is σ = 80709120. Its totient is φ = 10123776.

The previous prime is 29950471. The next prime is 29950483. The reversal of 29950480 is 8405992.

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 (29950483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43902 + ... + 44578.

It is an arithmetic number, because the mean of its divisors is an integer number (1008864).

Almost surely, 2^29950480 is an apocalyptic number.

29950480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29950480 is the 3160-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29950480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40354560).

29950480 is an abundant number, since it is smaller than the sum of its proper divisors (50758640).

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

29950480 is a wasteful number, since it uses less digits than its factorization.

29950480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 29950480 is about 5472.7031711943. The cubic root of 29950480 is about 310.5521896018.

The spelling of 29950480 in words is "twenty-nine million, nine hundred fifty thousand, four hundred eighty".