29475468 has 96 divisors (see below), whose sum is σ = 85451520. Its totient is φ = 8709120.

The previous prime is 29475463. The next prime is 29475497. The reversal of 29475468 is 86457492.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29475461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50796 + ... + 51372.

It is an arithmetic number, because the mean of its divisors is an integer number (890120).

Almost surely, 2^29475468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29475468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42725760).

29475468 is an abundant number, since it is smaller than the sum of its proper divisors (55976052).

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

29475468 is a wasteful number, since it uses less digits than its factorization.

29475468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 636 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 29475468 is about 5429.1314222443. The cubic root of 29475468 is about 308.9016559505.

The spelling of 29475468 in words is "twenty-nine million, four hundred seventy-five thousand, four hundred sixty-eight".