47821600 has 108 divisors (see below), whose sum is σ = 123121026. Its totient is φ = 18135040.

The previous prime is 47821591. The next prime is 47821601. The reversal of 47821600 is 612874.

It can be written as a sum of positive squares in 3 ways, for example, as 20322064 + 27499536 = 4508^2 + 5244^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47821601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 423144 + ... + 423256.

Almost surely, 2^47821600 is an apocalyptic number.

47821600 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 47821600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61560513).

47821600 is an abundant number, since it is smaller than the sum of its proper divisors (75299426).

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

47821600 is a wasteful number, since it uses less digits than its factorization.

47821600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 47821600 is about 6915.3163340515. The cubic root of 47821600 is about 362.9733175094.

The spelling of 47821600 in words is "forty-seven million, eight hundred twenty-one thousand, six hundred".