29957424 has 120 divisors (see below), whose sum is σ = 92279808. Its totient is φ = 8346240.

The previous prime is 29957407. The next prime is 29957437. The reversal of 29957424 is 42475992.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110409 + ... + 110679.

Almost surely, 2^29957424 is an apocalyptic number.

29957424 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 29957424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46139904).

29957424 is an abundant number, since it is smaller than the sum of its proper divisors (62322384).

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

29957424 is a wasteful number, since it uses less digits than its factorization.

29957424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 330 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 29957424 is about 5473.3375558246. The cubic root of 29957424 is about 310.5761881907.

It can be divided in two parts, 29957 and 424, that added together give a triangular number (30381 = T₂₄₆).

The spelling of 29957424 in words is "twenty-nine million, nine hundred fifty-seven thousand, four hundred twenty-four".