47505408 has 56 divisors (see below), whose sum is σ = 126738888. Its totient is φ = 15826944.

The previous prime is 47505401. The next prime is 47505431. The reversal of 47505408 is 80450574.

It is a super-3 number, since 3×47505408³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47505401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23610 + ... + 25542.

Almost surely, 2^47505408 is an apocalyptic number.

47505408 is a gapful number since it is divisible by the number (48) 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 47505408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63369444).

47505408 is an abundant number, since it is smaller than the sum of its proper divisors (79233480).

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

47505408 is an equidigital number, since it uses as much as digits as its factorization.

47505408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 47505408 is about 6892.4167024346. The cubic root of 47505408 is about 362.1715658575.

The spelling of 47505408 in words is "forty-seven million, five hundred five thousand, four hundred eight".