29472420 has 96 divisors (see below), whose sum is σ = 88058880. Its totient is φ = 7344000.

The previous prime is 29472409. The next prime is 29472433. The reversal of 29472420 is 2427492.

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

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, 117295 + ... + 117545.

It is an arithmetic number, because the mean of its divisors is an integer number (917280).

Almost surely, 2^29472420 is an apocalyptic number.

29472420 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 29472420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44029440).

29472420 is an abundant number, since it is smaller than the sum of its proper divisors (58586460).

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

29472420 is a wasteful number, since it uses less digits than its factorization.

29472420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 29472420 is about 5428.8507071018. The cubic root of 29472420 is about 308.8910079465.

It can be divided in two parts, 29472 and 420, that added together give a palindrome (29892).

The spelling of 29472420 in words is "twenty-nine million, four hundred seventy-two thousand, four hundred twenty".