29404920 has 64 divisors (see below), whose sum is σ = 88607520. Its totient is φ = 7806464.

The previous prime is 29404889. The next prime is 29404931. The reversal of 29404920 is 2940492.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37654 + ... + 38426.

Almost surely, 2^29404920 is an apocalyptic number.

29404920 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 29404920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44303760).

29404920 is an abundant number, since it is smaller than the sum of its proper divisors (59202600).

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

29404920 is a wasteful number, since it uses less digits than its factorization.

29404920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 29404920 is about 5422.6303580458. The cubic root of 29404920 is about 308.6550123857.

The spelling of 29404920 in words is "twenty-nine million, four hundred four thousand, nine hundred twenty".