47134800 has 90 divisors (see below), whose sum is σ = 163583342. Its totient is φ = 12568320.

The previous prime is 47134793. The next prime is 47134807. The reversal of 47134800 is 843174.

It is an interprime number because it is at equal distance from previous prime (47134793) and next prime (47134807).

It can be written as a sum of positive squares in 3 ways, for example, as 10265616 + 36869184 = 3204^2 + 6072^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47134807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2947 + ... + 10146.

Almost surely, 2^47134800 is an apocalyptic number.

47134800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47134800 is an abundant number, since it is smaller than the sum of its proper divisors (116448542).

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

47134800 is a wasteful number, since it uses less digits than its factorization.

47134800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13117 (or 13103 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 47134800 is about 6865.4788616673. The cubic root of 47134800 is about 361.2272927063.

Adding to 47134800 its reverse (843174), we get a palindrome (47977974).

The spelling of 47134800 in words is "forty-seven million, one hundred thirty-four thousand, eight hundred".