47075904 has 98 divisors (see below), whose sum is σ = 140199110. Its totient is φ = 15676416.

The previous prime is 47075893. The next prime is 47075929. The reversal of 47075904 is 40957074.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 36578304 + 10497600 = 6048^2 + 3240^2 .

It is a super-2 number, since 2×47075904² = 4432281474834432, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 46152 + ... + 47160.

Almost surely, 2^47075904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47075904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70099555).

47075904 is an abundant number, since it is smaller than the sum of its proper divisors (93123206).

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

47075904 is an equidigital number, since it uses as much as digits as its factorization.

47075904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 47075904 is about 6861.1882352840. The cubic root of 47075904 is about 361.0767761034.

The spelling of 47075904 in words is "forty-seven million, seventy-five thousand, nine hundred four".