29460480 has 192 divisors, whose sum is σ = 108501120. Its totient is φ = 6684672.

The previous prime is 29460479. The next prime is 29460481. The reversal of 29460480 is 8406492.

It is an interprime number because it is at equal distance from previous prime (29460479) and next prime (29460481).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29460481) 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, 214972 + ... + 215108.

It is an arithmetic number, because the mean of its divisors is an integer number (565110).

Almost surely, 2^29460480 is an apocalyptic number.

29460480 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 29460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54250560).

29460480 is an abundant number, since it is smaller than the sum of its proper divisors (79040640).

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

29460480 is a wasteful number, since it uses less digits than its factorization.

29460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 29460480 is about 5427.7509154345. The cubic root of 29460480 is about 308.8492892051.

The spelling of 29460480 in words is "twenty-nine million, four hundred sixty thousand, four hundred eighty".