47308800 has 336 divisors, whose sum is σ = 195023232. Its totient is φ = 9830400.

The previous prime is 47308783. The next prime is 47308801. The reversal of 47308800 is 880374.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47308801) 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, 4300795 + ... + 4300805.

Almost surely, 2^47308800 is an apocalyptic number.

47308800 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 47308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97511616).

47308800 is an abundant number, since it is smaller than the sum of its proper divisors (147714432).

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

47308800 is a wasteful number, since it uses less digits than its factorization.

47308800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 47308800 is about 6878.1392832655. The cubic root of 47308800 is about 361.6712418693.

It can be divided in two parts, 4730 and 8800, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 47308800 in words is "forty-seven million, three hundred eight thousand, eight hundred".