47918800 has 30 divisors (see below), whose sum is σ = 115125878. Its totient is φ = 19167360.

The previous prime is 47918789. The next prime is 47918807. The reversal of 47918800 is 881974.

It can be written as a sum of positive squares in 3 ways, for example, as 16064064 + 31854736 = 4008^2 + 5644^2 .

It is a super-2 number, since 2×47918800² = 4592422786880000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 47918800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47918807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59499 + ... + 60298.

Almost surely, 2^47918800 is an apocalyptic number.

47918800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47918800 is an abundant number, since it is smaller than the sum of its proper divisors (67207078).

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

47918800 is a wasteful number, since it uses less digits than its factorization.

47918800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119815 (or 119804 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 47918800 is about 6922.3406446086. The cubic root of 47918800 is about 363.2190720771.

The spelling of 47918800 in words is "forty-seven million, nine hundred eighteen thousand, eight hundred".