47904480 has 192 divisors, whose sum is σ = 180774720. Its totient is φ = 11778048.

The previous prime is 47904449. The next prime is 47904509. The reversal of 47904480 is 8440974.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55734 + ... + 56586.

It is an arithmetic number, because the mean of its divisors is an integer number (941535).

Almost surely, 2^47904480 is an apocalyptic number.

47904480 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 47904480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90387360).

47904480 is an abundant number, since it is smaller than the sum of its proper divisors (132870240).

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

47904480 is a wasteful number, since it uses less digits than its factorization.

47904480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 47904480 is about 6921.3062350975. The cubic root of 47904480 is about 363.1828871468.

Adding to 47904480 its product of nonzero digits (32256), we get a triangular number (47936736 = T₉₇₉₁).

It can be divided in two parts, 47904 and 480, that added together give a palindrome (48384).

The spelling of 47904480 in words is "forty-seven million, nine hundred four thousand, four hundred eighty".