47484000 has 144 divisors (see below), whose sum is σ = 168648480. Its totient is φ = 12652800.

The previous prime is 47483993. The next prime is 47484007. The reversal of 47484000 is 48474.

It is an interprime number because it is at equal distance from previous prime (47483993) and next prime (47484007).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47484007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35341 + ... + 36659.

It is an arithmetic number, because the mean of its divisors is an integer number (1171170).

Almost surely, 2^47484000 is an apocalyptic number.

47484000 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 47484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84324240).

47484000 is an abundant number, since it is smaller than the sum of its proper divisors (121164480).

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

47484000 is a wasteful number, since it uses less digits than its factorization.

47484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 47484000 is about 6890.8635162801. The cubic root of 47484000 is about 362.1171542711.

The spelling of 47484000 in words is "forty-seven million, four hundred eighty-four thousand".