129464660 has 48 divisors (see below), whose sum is σ = 293706000. Its totient is φ = 47652864.

The previous prime is 129464633. The next prime is 129464669. The reversal of 129464660 is 66464921.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 34128964 + 95335696 = 5842^2 + 9764^2 .

It is a super-2 number, since 2×129464660² = 33522196377831200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129464669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116186 + ... + 117294.

It is an arithmetic number, because the mean of its divisors is an integer number (6118875).

Almost surely, 2^129464660 is an apocalyptic number.

129464660 is a gapful number since it is divisible by the number (10) 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 129464660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146853000).

129464660 is an abundant number, since it is smaller than the sum of its proper divisors (164241340).

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

129464660 is a wasteful number, since it uses less digits than its factorization.

129464660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 129464660 is about 11378.2538203364. The cubic root of 129464660 is about 505.8833801451.

The spelling of 129464660 in words is "one hundred twenty-nine million, four hundred sixty-four thousand, six hundred sixty".