29494920 has 256 divisors, whose sum is σ = 113379840. Its totient is φ = 5971968.

The previous prime is 29494909. The next prime is 29494931. The reversal of 29494920 is 2949492.

It is an interprime number because it is at equal distance from previous prime (29494909) and next prime (29494931).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 404004 + ... + 404076.

It is an arithmetic number, because the mean of its divisors is an integer number (442890).

Almost surely, 2^29494920 is an apocalyptic number.

29494920 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 29494920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56689920).

29494920 is an abundant number, since it is smaller than the sum of its proper divisors (83884920).

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

29494920 is a wasteful number, since it uses less digits than its factorization.

29494920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 29494920 is about 5430.9225735597. The cubic root of 29494920 is about 308.9695930532.

The spelling of 29494920 in words is "twenty-nine million, four hundred ninety-four thousand, nine hundred twenty".