29730240 has 280 divisors, whose sum is σ = 112117632. Its totient is φ = 7464960.

The previous prime is 29730227. The next prime is 29730247. The reversal of 29730240 is 4203792.

29730240 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29730247) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 803502 + ... + 803538.

Almost surely, 2^29730240 is an apocalyptic number.

29730240 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 29730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56058816).

29730240 is an abundant number, since it is smaller than the sum of its proper divisors (82387392).

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

29730240 is a wasteful number, since it uses less digits than its factorization.

29730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 29730240 is about 5452.5443602047. The cubic root of 29730240 is about 309.7891038696.

The spelling of 29730240 in words is "twenty-nine million, seven hundred thirty thousand, two hundred forty".