47153600 has 84 divisors (see below), whose sum is σ = 125007624. Its totient is φ = 17402880.

The previous prime is 47153593. The next prime is 47153621. The reversal of 47153600 is 635174.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 47153600.

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 11 ways as a sum of consecutive naturals, for example, 19667 + ... + 21933.

It is an arithmetic number, because the mean of its divisors is an integer number (1488186).

Almost surely, 2^47153600 is an apocalyptic number.

47153600 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 47153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62503812).

47153600 is an abundant number, since it is smaller than the sum of its proper divisors (77854024).

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

47153600 is a wasteful number, since it uses less digits than its factorization.

47153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 47153600 is about 6866.8478940486. The cubic root of 47153600 is about 361.2753122193.

Adding to 47153600 its reverse (635174), we get a palindrome (47788774).

The spelling of 47153600 in words is "forty-seven million, one hundred fifty-three thousand, six hundred".