47763200 has 108 divisors (see below), whose sum is σ = 125460720. Its totient is φ = 17940480.

The previous prime is 47763197. The next prime is 47763211. The reversal of 47763200 is 236774.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108581 + ... + 109019.

Almost surely, 2^47763200 is an apocalyptic number.

47763200 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 47763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62730360).

47763200 is an abundant number, since it is smaller than the sum of its proper divisors (77697520).

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

47763200 is a wasteful number, since it uses less digits than its factorization.

47763200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 47763200 is about 6911.0925330225. The cubic root of 47763200 is about 362.8255023207.

Adding to 47763200 its reverse (236774), we get a palindrome (47999974).

The spelling of 47763200 in words is "forty-seven million, seven hundred sixty-three thousand, two hundred".