47456800 has 72 divisors (see below), whose sum is σ = 116969076. Its totient is φ = 18800640.

The previous prime is 47456791. The next prime is 47456807. The reversal of 47456800 is 865474.

It can be written as a sum of positive squares in 6 ways, for example, as 9560464 + 37896336 = 3092^2 + 6156^2 .

It is not an unprimeable number, because it can be changed into a prime (47456807) 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, 109384 + ... + 109816.

Almost surely, 2^47456800 is an apocalyptic number.

47456800 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 47456800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58484538).

47456800 is an abundant number, since it is smaller than the sum of its proper divisors (69512276).

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

47456800 is a wasteful number, since it uses less digits than its factorization.

47456800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 47456800 is about 6888.8896057347. The cubic root of 47456800 is about 362.0479978683.

The spelling of 47456800 in words is "forty-seven million, four hundred fifty-six thousand, eight hundred".