29850480 has 120 divisors (see below), whose sum is σ = 109390320. Its totient is φ = 7234560.

The previous prime is 29850479. The next prime is 29850493. The reversal of 29850480 is 8405892.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6036 + ... + 9804.

It is an arithmetic number, because the mean of its divisors is an integer number (911586).

Almost surely, 2^29850480 is an apocalyptic number.

29850480 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 29850480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54695160).

29850480 is an abundant number, since it is smaller than the sum of its proper divisors (79539840).

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

29850480 is a wasteful number, since it uses less digits than its factorization.

29850480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 29850480 is about 5463.5592794441. The cubic root of 29850480 is about 310.2061757142.

The spelling of 29850480 in words is "twenty-nine million, eight hundred fifty thousand, four hundred eighty".