47345200 has 120 divisors (see below), whose sum is σ = 133801952. Its totient is φ = 15759360.

The previous prime is 47345191. The next prime is 47345209. The reversal of 47345200 is 254374.

It is an interprime number because it is at equal distance from previous prime (47345191) and next prime (47345209).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (47345209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103372 + ... + 103828.

Almost surely, 2^47345200 is an apocalyptic number.

47345200 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 47345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66900976).

47345200 is an abundant number, since it is smaller than the sum of its proper divisors (86456752).

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

47345200 is a wasteful number, since it uses less digits than its factorization.

47345200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 47345200 is about 6880.7848389555. The cubic root of 47345200 is about 361.7639762602.

Adding to 47345200 its reverse (254374), we get a palindrome (47599574).

The spelling of 47345200 in words is "forty-seven million, three hundred forty-five thousand, two hundred".