47257600 has 144 divisors (see below), whose sum is σ = 127960560. Its totient is φ = 17203200.

The previous prime is 47257591. The next prime is 47257601. The reversal of 47257600 is 675274.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47257601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 665565 + ... + 665635.

It is an arithmetic number, because the mean of its divisors is an integer number (888615).

Almost surely, 2^47257600 is an apocalyptic number.

47257600 is a gapful number since it is divisible by the number (40) 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 47257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63980280).

47257600 is an abundant number, since it is smaller than the sum of its proper divisors (80702960).

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

47257600 is a wasteful number, since it uses less digits than its factorization.

47257600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 47257600 is about 6874.4163388611. The cubic root of 47257600 is about 361.5407217419.

The spelling of 47257600 in words is "forty-seven million, two hundred fifty-seven thousand, six hundred".