47232400 has 30 divisors (see below), whose sum is σ = 113476802. Its totient is φ = 18892800.

The previous prime is 47232397. The next prime is 47232403. The reversal of 47232400 is 423274.

It is an interprime number because it is at equal distance from previous prime (47232397) and next prime (47232403).

It can be written as a sum of positive squares in 3 ways, for example, as 2663424 + 44568976 = 1632^2 + 6676^2 .

It is not an unprimeable number, because it can be changed into a prime (47232403) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 58641 + ... + 59440.

Almost surely, 2^47232400 is an apocalyptic number.

47232400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47232400 is an abundant number, since it is smaller than the sum of its proper divisors (66244402).

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

47232400 is a wasteful number, since it uses less digits than its factorization.

47232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118099 (or 118088 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 47232400 is about 6872.5832115734. The cubic root of 47232400 is about 361.4764467462.

Adding to 47232400 its reverse (423274), we get a palindrome (47655674).

The spelling of 47232400 in words is "forty-seven million, two hundred thirty-two thousand, four hundred".