47733408 has 96 divisors (see below), whose sum is σ = 140857920. Its totient is φ = 15724800.

The previous prime is 47733407. The next prime is 47733437. The reversal of 47733408 is 80433774.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (47733407) 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 15 ways as a sum of consecutive naturals, for example, 86991 + ... + 87537.

It is an arithmetic number, because the mean of its divisors is an integer number (1467270).

Almost surely, 2^47733408 is an apocalyptic number.

47733408 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 47733408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70428960).

47733408 is an abundant number, since it is smaller than the sum of its proper divisors (93124512).

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

47733408 is a wasteful number, since it uses less digits than its factorization.

47733408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 47733408 is about 6908.9368212483. The cubic root of 47733408 is about 362.7500499113.

The spelling of 47733408 in words is "forty-seven million, seven hundred thirty-three thousand, four hundred eight".