47801600 has 216 divisors, whose sum is σ = 149032128. Its totient is φ = 14745600.

The previous prime is 47801563. The next prime is 47801639. The reversal of 47801600 is 610874.

It is a self number, because there is not a number n which added to its sum of digits gives 47801600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 492752 + ... + 492848.

Almost surely, 2^47801600 is an apocalyptic number.

47801600 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 47801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74516064).

47801600 is an abundant number, since it is smaller than the sum of its proper divisors (101230528).

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

47801600 is a wasteful number, since it uses less digits than its factorization.

47801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 47801600 is about 6913.8701173800. The cubic root of 47801600 is about 362.9227094257.

The spelling of 47801600 in words is "forty-seven million, eight hundred one thousand, six hundred".