47886400 has 63 divisors (see below), whose sum is σ = 118515511. Its totient is φ = 19043840.

The previous prime is 47886389. The next prime is 47886409. The reversal of 47886400 is 468874.

The square root of 47886400 is 6920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5271616 + 42614784 = 2296^2 + 6528^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 47886400.

It is not an unprimeable number, because it can be changed into a prime (47886409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 276714 + ... + 276886.

Almost surely, 2^47886400 is an apocalyptic number.

47886400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

47886400 is the 6920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47886400

47886400 is an abundant number, since it is smaller than the sum of its proper divisors (70629111).

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

47886400 is an equidigital number, since it uses as much as digits as its factorization.

47886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The cubic root of 47886400 is about 363.1371908441.

The spelling of 47886400 in words is "forty-seven million, eight hundred eighty-six thousand, four hundred".