305729424 has 480 divisors, whose sum is σ = 1211172480. Its totient is φ = 72576000.

The previous prime is 305729423. The next prime is 305729429. The reversal of 305729424 is 424927503.

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

It is not an unprimeable number, because it can be changed into a prime (305729423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3026974 + ... + 3027074.

It is an arithmetic number, because the mean of its divisors is an integer number (2523276).

Almost surely, 2^305729424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305729424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605586240).

305729424 is an abundant number, since it is smaller than the sum of its proper divisors (905443056).

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

305729424 is a wasteful number, since it uses less digits than its factorization.

305729424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 305729424 is about 17485.1200739372. The cubic root of 305729424 is about 673.6677326887.

It can be divided in two parts, 305729 and 424, that added together give a triangular number (306153 = T₇₈₂).

The spelling of 305729424 in words is "three hundred five million, seven hundred twenty-nine thousand, four hundred twenty-four".