47801000 has 64 divisors (see below), whose sum is σ = 120491280. Its totient is φ = 17644800.

The previous prime is 47800981. The next prime is 47801041. The reversal of 47801000 is 10874.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 988036 + 46812964 = 994^2 + 6842^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11162 + ... + 14838.

Almost surely, 2^47801000 is an apocalyptic number.

47801000 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 47801000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60245640).

47801000 is an abundant number, since it is smaller than the sum of its proper divisors (72690280).

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

47801000 is a wasteful number, since it uses less digits than its factorization.

47801000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 47801000 is about 6913.8267262060. The cubic root of 47801000 is about 362.9211909651.

Adding to 47801000 its reverse (10874), we get a palindrome (47811874).

The spelling of 47801000 in words is "forty-seven million, eight hundred one thousand".