47724500 has 48 divisors (see below), whose sum is σ = 107627520. Its totient is φ = 18468000.

The previous prime is 47724499. The next prime is 47724503. The reversal of 47724500 is 542774.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47724503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13961 + ... + 17039.

It is an arithmetic number, because the mean of its divisors is an integer number (2242240).

Almost surely, 2^47724500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47724500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53813760).

47724500 is an abundant number, since it is smaller than the sum of its proper divisors (59903020).

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

47724500 is a wasteful number, since it uses less digits than its factorization.

47724500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3129 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 29.

The square root of 47724500 is about 6908.2921188960. The cubic root of 47724500 is about 362.7274830578.

The spelling of 47724500 in words is "forty-seven million, seven hundred twenty-four thousand, five hundred".