729986460 has 192 divisors, whose sum is σ = 2604026880. Its totient is φ = 148746240.

The previous prime is 729986459. The next prime is 729986461. The reversal of 729986460 is 64689927.

It is a happy number.

729986460 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 (729986459) and next prime (729986461).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729986461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132970 + ... + 138350.

It is an arithmetic number, because the mean of its divisors is an integer number (13562640).

Almost surely, 2^729986460 is an apocalyptic number.

729986460 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 729986460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302013440).

729986460 is an abundant number, since it is smaller than the sum of its proper divisors (1874040420).

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

729986460 is a wasteful number, since it uses less digits than its factorization.

729986460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5436 (or 5434 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 729986460 is about 27018.2616021090. The cubic root of 729986460 is about 900.4057676483.

The spelling of 729986460 in words is "seven hundred twenty-nine million, nine hundred eighty-six thousand, four hundred sixty".