29485440 has 96 divisors (see below), whose sum is σ = 101836800. Its totient is φ = 7861248.

The previous prime is 29485439. The next prime is 29485441. The reversal of 29485440 is 4458492.

It is an interprime number because it is at equal distance from previous prime (29485439) and next prime (29485441).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 29485395 and 29485404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29485441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3201 + ... + 8319.

It is an arithmetic number, because the mean of its divisors is an integer number (1060800).

Almost surely, 2^29485440 is an apocalyptic number.

29485440 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 29485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50918400).

29485440 is an abundant number, since it is smaller than the sum of its proper divisors (72351360).

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

29485440 is a wasteful number, since it uses less digits than its factorization.

29485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5144 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 29485440 is about 5430.0497235292. The cubic root of 29485440 is about 308.9364874020.

The spelling of 29485440 in words is "twenty-nine million, four hundred eighty-five thousand, four hundred forty".