29458871460 has 72 divisors (see below), whose sum is σ = 91538077176. Its totient is φ = 7664094720.

The previous prime is 29458871417. The next prime is 29458871467. The reversal of 29458871460 is 6417885492.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3170140416 + 26288731044 = 56304^2 + 162138^2 .

It is a junction number, because it is equal to n+sod(n) for n = 29458871397 and 29458871406.

It is not an unprimeable number, because it can be changed into a prime (29458871467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1988479 + ... + 2003238.

It is an arithmetic number, because the mean of its divisors is an integer number (1271362183).

Almost surely, 2^29458871460 is an apocalyptic number.

29458871460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29458871460 is an abundant number, since it is smaller than the sum of its proper divisors (62079205716).

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

29458871460 is a wasteful number, since it uses less digits than its factorization.

29458871460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3991773 (or 3991768 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 29458871460 in words is "twenty-nine billion, four hundred fifty-eight million, eight hundred seventy-one thousand, four hundred sixty".