729024480 has 144 divisors (see below), whose sum is σ = 2498945904. Its totient is φ = 193536000.

The previous prime is 729024469. The next prime is 729024493. The reversal of 729024480 is 84420927.

729024480 is a `hidden beast` number, since 72 + 90 + 24 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360432 + ... + 362448.

It is an arithmetic number, because the mean of its divisors is an integer number (17353791).

Almost surely, 2^729024480 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 729024480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249472952).

729024480 is an abundant number, since it is smaller than the sum of its proper divisors (1769921424).

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

729024480 is a wasteful number, since it uses less digits than its factorization.

729024480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 729024480 is about 27000.4533295276. The cubic root of 729024480 is about 900.0100739613.

The spelling of 729024480 in words is "seven hundred twenty-nine million, twenty-four thousand, four hundred eighty".