47901600 has 108 divisors (see below), whose sum is σ = 168938406. Its totient is φ = 12771840.

The previous prime is 47901599. The next prime is 47901611. The reversal of 47901600 is 610974.

It can be written as a sum of positive squares in 3 ways, for example, as 20903184 + 26998416 = 4572^2 + 5196^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3874 + ... + 10526.

Almost surely, 2^47901600 is an apocalyptic number.

47901600 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 47901600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84469203).

47901600 is an abundant number, since it is smaller than the sum of its proper divisors (121036806).

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

47901600 is a wasteful number, since it uses less digits than its factorization.

47901600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6679 (or 6663 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 47901600 is about 6921.0981787575. The cubic root of 47901600 is about 363.1756088597.

The spelling of 47901600 in words is "forty-seven million, nine hundred one thousand, six hundred".