47486880 has 216 divisors, whose sum is σ = 188786052. Its totient is φ = 10838016.

The previous prime is 47486843. The next prime is 47486893. The reversal of 47486880 is 8868474.

It can be written as a sum of positive squares in 2 ways, for example, as 46294416 + 1192464 = 6804^2 + 1092^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70224 + ... + 70896.

Almost surely, 2^47486880 is an apocalyptic number.

47486880 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 47486880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94393026).

47486880 is an abundant number, since it is smaller than the sum of its proper divisors (141299172).

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

47486880 is a wasteful number, since it uses less digits than its factorization.

47486880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 47486880 is about 6891.0724854699. The cubic root of 47486880 is about 362.1244751674.

It can be divided in two parts, 4748 and 6880, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 47486880 in words is "forty-seven million, four hundred eighty-six thousand, eight hundred eighty".