729415470 has 96 divisors (see below), whose sum is σ = 2045039616. Its totient is φ = 166017600.

The previous prime is 729415433. The next prime is 729415471. The reversal of 729415470 is 74514927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729415471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 397455 + ... + 399285.

It is an arithmetic number, because the mean of its divisors is an integer number (21302496).

Almost surely, 2^729415470 is an apocalyptic number.

729415470 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 729415470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022519808).

729415470 is an abundant number, since it is smaller than the sum of its proper divisors (1315624146).

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

729415470 is a wasteful number, since it uses less digits than its factorization.

729415470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 729415470 is about 27007.6927929803. The cubic root of 729415470 is about 900.1709428383.

The spelling of 729415470 in words is "seven hundred twenty-nine million, four hundred fifteen thousand, four hundred seventy".