29942460 has 144 divisors (see below), whose sum is σ = 96681312. Its totient is φ = 7776000.

The previous prime is 29942449. The next prime is 29942467. The reversal of 29942460 is 6424992.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29942467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296410 + ... + 296510.

It is an arithmetic number, because the mean of its divisors is an integer number (671398).

Almost surely, 2^29942460 is an apocalyptic number.

29942460 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 29942460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48340656).

29942460 is an abundant number, since it is smaller than the sum of its proper divisors (66738852).

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

29942460 is a wasteful number, since it uses less digits than its factorization.

29942460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 29942460 is about 5471.9703946568. The cubic root of 29942460 is about 310.5244677211.

The spelling of 29942460 in words is "twenty-nine million, nine hundred forty-two thousand, four hundred sixty".