47965600 has 36 divisors (see below), whose sum is σ = 117097974. Its totient is φ = 19185920.

The previous prime is 47965591. The next prime is 47965651. The reversal of 47965600 is 656974.

It can be written as a sum of positive squares in 3 ways, for example, as 30426256 + 17539344 = 5516^2 + 4188^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 47965600.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29179 + ... + 30778.

Almost surely, 2^47965600 is an apocalyptic number.

47965600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47965600 is an abundant number, since it is smaller than the sum of its proper divisors (69132374).

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

47965600 is a wasteful number, since it uses less digits than its factorization.

47965600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59977 (or 59964 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 47965600 is about 6925.7201791583. The cubic root of 47965600 is about 363.3372798344.

The spelling of 47965600 in words is "forty-seven million, nine hundred sixty-five thousand, six hundred".