47874880 has 84 divisors (see below), whose sum is σ = 118163340. Its totient is φ = 18472960.

The previous prime is 47874833. The next prime is 47874887. The reversal of 47874880 is 8847874.

It can be written as a sum of positive squares in 6 ways, for example, as 24681024 + 23193856 = 4968^2 + 4816^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 47874880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47874887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 537876 + ... + 537964.

Almost surely, 2^47874880 is an apocalyptic number.

47874880 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 47874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59081670).

47874880 is an abundant number, since it is smaller than the sum of its proper divisors (70288460).

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

47874880 is an equidigital number, since it uses as much as digits as its factorization.

47874880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 46.

The square root of 47874880 is about 6919.1675799911. The cubic root of 47874880 is about 363.1080686163.

The spelling of 47874880 in words is "forty-seven million, eight hundred seventy-four thousand, eight hundred eighty".