47487600 has 120 divisors (see below), whose sum is σ = 169059120. Its totient is φ = 12660480.

The previous prime is 47487599. The next prime is 47487653. The reversal of 47487600 is 678474.

It is a happy number.

47487600 is a `hidden beast` number, since 4 + 7 + 48 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8602 + ... + 12998.

It is an arithmetic number, because the mean of its divisors is an integer number (1408826).

Almost surely, 2^47487600 is an apocalyptic number.

47487600 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 47487600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84529560).

47487600 is an abundant number, since it is smaller than the sum of its proper divisors (121571520).

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

47487600 is a wasteful number, since it uses less digits than its factorization.

47487600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4424 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 47487600 is about 6891.1247267772. The cubic root of 47487600 is about 362.1263053452.

The spelling of 47487600 in words is "forty-seven million, four hundred eighty-seven thousand, six hundred".