47408000 has 64 divisors (see below), whose sum is σ = 117907920. Its totient is φ = 18956800.

The previous prime is 47407999. The next prime is 47408003. The reversal of 47408000 is 80474.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47408003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14519 + ... + 17481.

Almost surely, 2^47408000 is an apocalyptic number.

47408000 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 47408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58953960).

47408000 is an abundant number, since it is smaller than the sum of its proper divisors (70499920).

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

47408000 is an equidigital number, since it uses as much as digits as its factorization.

47408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 47408000 is about 6885.3467596048. The cubic root of 47408000 is about 361.9238568828.

Adding to 47408000 its reverse (80474), we get a palindrome (47488474).

The spelling of 47408000 in words is "forty-seven million, four hundred eight thousand".