47938400 has 72 divisors (see below), whose sum is σ = 120867264. Its totient is φ = 18547200.

The previous prime is 47938391. The next prime is 47938403. The reversal of 47938400 is 483974.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47938403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23834 + ... + 25766.

It is an arithmetic number, because the mean of its divisors is an integer number (1678712).

Almost surely, 2^47938400 is an apocalyptic number.

47938400 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 47938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60433632).

47938400 is an abundant number, since it is smaller than the sum of its proper divisors (72928864).

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

47938400 is a wasteful number, since it uses less digits than its factorization.

47938400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 47938400 is about 6923.7562059911. The cubic root of 47938400 is about 363.2685872528.

The spelling of 47938400 in words is "forty-seven million, nine hundred thirty-eight thousand, four hundred".