47445120 has 96 divisors (see below), whose sum is σ = 163853820. Its totient is φ = 12650496.

The previous prime is 47445107. The next prime is 47445121. The reversal of 47445120 is 2154474.

It can be written as a sum of positive squares in 2 ways, for example, as 47444544 + 576 = 6888^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (47445121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1642 + ... + 9878.

Almost surely, 2^47445120 is an apocalyptic number.

47445120 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 47445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81926910).

47445120 is an abundant number, since it is smaller than the sum of its proper divisors (116408700).

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

47445120 is a wasteful number, since it uses less digits than its factorization.

47445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8262 (or 8247 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 47445120 is about 6888.0418117198. The cubic root of 47445120 is about 362.0182931854.

Adding to 47445120 its reverse (2154474), we get a palindrome (49599594).

The spelling of 47445120 in words is "forty-seven million, four hundred forty-five thousand, one hundred twenty".