47504400 has 120 divisors (see below), whose sum is σ = 157204224. Its totient is φ = 12249600.

The previous prime is 47504333. The next prime is 47504419. The reversal of 47504400 is 440574.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 36562 + ... + 37838.

Almost surely, 2^47504400 is an apocalyptic number.

47504400 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 47504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78602112).

47504400 is an abundant number, since it is smaller than the sum of its proper divisors (109699824).

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

47504400 is a wasteful number, since it uses less digits than its factorization.

47504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 47504400 is about 6892.3435782033. The cubic root of 47504400 is about 362.1690042438.

Adding to 47504400 its reverse (440574), we get a palindrome (47944974).

The spelling of 47504400 in words is "forty-seven million, five hundred four thousand, four hundred".