47793600 has 126 divisors (see below), whose sum is σ = 169920920. Its totient is φ = 12741120.

The previous prime is 47793587. The next prime is 47793649. The reversal of 47793600 is 639774.

47793600 is a `hidden beast` number, since 47 + 7 + 9 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 12741 + ... + 16059.

Almost surely, 2^47793600 is an apocalyptic number.

47793600 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 47793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84960460).

47793600 is an abundant number, since it is smaller than the sum of its proper divisors (122127320).

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

47793600 is a wasteful number, since it uses less digits than its factorization.

47793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3347 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 47793600 is about 6913.2915460004. The cubic root of 47793600 is about 362.9024622397.

The spelling of 47793600 in words is "forty-seven million, seven hundred ninety-three thousand, six hundred".