47014800 has 240 divisors, whose sum is σ = 178976640. Its totient is φ = 10321920.

The previous prime is 47014787. The next prime is 47014831. The reversal of 47014800 is 841074.

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

It is a super-3 number, since 3×47014800³ (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 47 ways as a sum of consecutive naturals, for example, 243504 + ... + 243696.

It is an arithmetic number, because the mean of its divisors is an integer number (745736).

Almost surely, 2^47014800 is an apocalyptic number.

47014800 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 47014800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89488320).

47014800 is an abundant number, since it is smaller than the sum of its proper divisors (131961840).

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

47014800 is a wasteful number, since it uses less digits than its factorization.

47014800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 47014800 is about 6856.7339163774. The cubic root of 47014800 is about 360.9204839151.

Adding to 47014800 its reverse (841074), we get a palindrome (47855874).

The spelling of 47014800 in words is "forty-seven million, fourteen thousand, eight hundred".