29430624 has 48 divisors (see below), whose sum is σ = 77967792. Its totient is φ = 9719808.

The previous prime is 29430613. The next prime is 29430637. The reversal of 29430624 is 42603492.

It is a Cunningham number, because it is equal to 5425²-1.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 29430591 and 29430600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9492 + ... + 12204.

It is an arithmetic number, because the mean of its divisors is an integer number (1624329).

Almost surely, 2^29430624 is an apocalyptic number.

29430624 is a gapful number since it is divisible by the number (24) 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 29430624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38983896).

29430624 is an abundant number, since it is smaller than the sum of its proper divisors (48537168).

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

29430624 is a wasteful number, since it uses less digits than its factorization.

29430624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 29430624 is about 5424.9999078341. Note that the first 4 decimals coincide. The cubic root of 29430624 is about 308.7449220318.

The spelling of 29430624 in words is "twenty-nine million, four hundred thirty thousand, six hundred twenty-four".