729450960 has 160 divisors (see below), whose sum is σ = 2736467712. Its totient is φ = 156917760.

The previous prime is 729450941. The next prime is 729450979. The reversal of 729450960 is 69054927.

729450960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (729450941) and next prime (729450979).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15790 + ... + 41330.

Almost surely, 2^729450960 is an apocalyptic number.

729450960 is a gapful number since it is divisible by the number (70) 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 729450960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368233856).

729450960 is an abundant number, since it is smaller than the sum of its proper divisors (2007016752).

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

729450960 is a wasteful number, since it uses less digits than its factorization.

729450960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25581 (or 25575 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 729450960 is about 27008.3498200094. The cubic root of 729450960 is about 900.1855419934.

The spelling of 729450960 in words is "seven hundred twenty-nine million, four hundred fifty thousand, nine hundred sixty".