47129400 has 72 divisors (see below), whose sum is σ = 158282280. Its totient is φ = 12567360.

The previous prime is 47129371. The next prime is 47129417. The reversal of 47129400 is 492174.

It is a happy number.

47129400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11292 + ... + 14891.

It is an arithmetic number, because the mean of its divisors is an integer number (2198365).

Almost surely, 2^47129400 is an apocalyptic number.

47129400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47129400 is an abundant number, since it is smaller than the sum of its proper divisors (111152880).

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

47129400 is a wasteful number, since it uses less digits than its factorization.

47129400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26205 (or 26193 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 47129400 is about 6865.0855784906. The cubic root of 47129400 is about 361.2134975070.

The spelling of 47129400 in words is "forty-seven million, one hundred twenty-nine thousand, four hundred".