47433120 has 192 divisors, whose sum is σ = 179988480. Its totient is φ = 10257408.

The previous prime is 47433091. The next prime is 47433143. The reversal of 47433120 is 2133474.

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

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, 63469 + ... + 64211.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 2^47433120 is an apocalyptic number.

47433120 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 47433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994240).

47433120 is an abundant number, since it is smaller than the sum of its proper divisors (132555360).

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

47433120 is a wasteful number, since it uses less digits than its factorization.

47433120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 47433120 is about 6887.1706817822. The cubic root of 47433120 is about 361.9877695979.

Adding to 47433120 its reverse (2133474), we get a palindrome (49566594).

The spelling of 47433120 in words is "forty-seven million, four hundred thirty-three thousand, one hundred twenty".