47409120 has 288 divisors, whose sum is σ = 183272544. Its totient is φ = 11059200.

The previous prime is 47409101. The next prime is 47409121. The reversal of 47409120 is 2190474.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47409121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 649404 + ... + 649476.

It is an arithmetic number, because the mean of its divisors is an integer number (636363).

Almost surely, 2^47409120 is an apocalyptic number.

47409120 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 47409120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91636272).

47409120 is an abundant number, since it is smaller than the sum of its proper divisors (135863424).

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

47409120 is a wasteful number, since it uses less digits than its factorization.

47409120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 47409120 is about 6885.4280912664. The cubic root of 47409120 is about 361.9267069751.

Adding to 47409120 its reverse (2190474), we get a palindrome (49599594).

The spelling of 47409120 in words is "forty-seven million, four hundred nine thousand, one hundred twenty".