47502880 has 48 divisors (see below), whose sum is σ = 112674240. Its totient is φ = 18925312.

The previous prime is 47502877. The next prime is 47502883. The reversal of 47502880 is 8820574.

It is an interprime number because it is at equal distance from previous prime (47502877) and next prime (47502883).

It is not an unprimeable number, because it can be changed into a prime (47502883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57027 + ... + 57853.

It is an arithmetic number, because the mean of its divisors is an integer number (2347380).

Almost surely, 2^47502880 is an apocalyptic number.

47502880 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 47502880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56337120).

47502880 is an abundant number, since it is smaller than the sum of its proper divisors (65171360).

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

47502880 is a wasteful number, since it uses less digits than its factorization.

47502880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 47502880 is about 6892.2333100382. The cubic root of 47502880 is about 362.1651414244.

The spelling of 47502880 in words is "forty-seven million, five hundred two thousand, eight hundred eighty".