29463940 has 48 divisors (see below), whose sum is σ = 67939200. Its totient is φ = 10644480.

The previous prime is 29463923. The next prime is 29463947. The reversal of 29463940 is 4936492.

It is a self number, because there is not a number n which added to its sum of digits gives 29463940.

It is not an unprimeable number, because it can be changed into a prime (29463947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43444 + ... + 44116.

It is an arithmetic number, because the mean of its divisors is an integer number (1415400).

Almost surely, 2^29463940 is an apocalyptic number.

29463940 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 29463940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33969600).

29463940 is an abundant number, since it is smaller than the sum of its proper divisors (38475260).

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

29463940 is a wasteful number, since it uses less digits than its factorization.

29463940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 29463940 is about 5428.0696384626. The cubic root of 29463940 is about 308.8613797154.

It can be divided in two parts, 29463 and 940, that added together give a palindrome (30403).

The spelling of 29463940 in words is "twenty-nine million, four hundred sixty-three thousand, nine hundred forty".