47879200 has 72 divisors (see below), whose sum is σ = 118281492. Its totient is φ = 18923520.

The previous prime is 47879197. The next prime is 47879207. The reversal of 47879200 is 297874.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4477456 + 43401744 = 2116^2 + 6588^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 47879200.

It is not an unprimeable number, because it can be changed into a prime (47879207) 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, 77292 + ... + 77908.

Almost surely, 2^47879200 is an apocalyptic number.

47879200 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 47879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59140746).

47879200 is an abundant number, since it is smaller than the sum of its proper divisors (70402292).

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

47879200 is a wasteful number, since it uses less digits than its factorization.

47879200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 47879200 is about 6919.4797492297. The cubic root of 47879200 is about 363.1189899991.

The spelling of 47879200 in words is "forty-seven million, eight hundred seventy-nine thousand, two hundred".