47691400 has 48 divisors (see below), whose sum is σ = 111348900. Its totient is φ = 18996480.

The previous prime is 47691389. The next prime is 47691401. The reversal of 47691400 is 419674.

It can be written as a sum of positive squares in 6 ways, for example, as 933156 + 46758244 = 966^2 + 6838^2 .

It is not an unprimeable number, because it can be changed into a prime (47691401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77494 + ... + 78106.

Almost surely, 2^47691400 is an apocalyptic number.

47691400 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 47691400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55674450).

47691400 is an abundant number, since it is smaller than the sum of its proper divisors (63657500).

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

47691400 is a wasteful number, since it uses less digits than its factorization.

47691400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 47691400 is about 6905.8960316530. The cubic root of 47691400 is about 362.6436054096.

The spelling of 47691400 in words is "forty-seven million, six hundred ninety-one thousand, four hundred".