29874420 has 96 divisors (see below), whose sum is σ = 94227840. Its totient is φ = 7954848.

The previous prime is 29874413. The next prime is 29874443. The reversal of 29874420 is 2447892.

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 31 ways as a sum of consecutive naturals, for example, 43399 + ... + 44081.

It is an arithmetic number, because the mean of its divisors is an integer number (981540).

Almost surely, 2^29874420 is an apocalyptic number.

29874420 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 29874420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47113920).

29874420 is an abundant number, since it is smaller than the sum of its proper divisors (64353420).

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

29874420 is an equidigital number, since it uses as much as digits as its factorization.

29874420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 29874420 is about 5465.7497198463. The cubic root of 29874420 is about 310.2890817114.

The spelling of 29874420 in words is "twenty-nine million, eight hundred seventy-four thousand, four hundred twenty".