47731200 has 240 divisors, whose sum is σ = 173533536. Its totient is φ = 11468800.

The previous prime is 47731183. The next prime is 47731231. The reversal of 47731200 is 213774.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×47731200³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 422344 + ... + 422456.

Almost surely, 2^47731200 is an apocalyptic number.

47731200 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 47731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86766768).

47731200 is an abundant number, since it is smaller than the sum of its proper divisors (125802336).

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

47731200 is a wasteful number, since it uses less digits than its factorization.

47731200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 47731200 is about 6908.7770263629. Note that the first 3 decimals coincide. The cubic root of 47731200 is about 362.7444565928.

Adding to 47731200 its reverse (213774), we get a palindrome (47944974).

The spelling of 47731200 in words is "forty-seven million, seven hundred thirty-one thousand, two hundred".