47290880 has 240 divisors, whose sum is σ = 146943720. Its totient is φ = 14450688.

The previous prime is 47290879. The next prime is 47290891. The reversal of 47290880 is 8809274.

It can be written as a sum of positive squares in 4 ways, for example, as 30118144 + 17172736 = 5488^2 + 4144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1630706 + ... + 1630734.

Almost surely, 2^47290880 is an apocalyptic number.

47290880 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 47290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73471860).

47290880 is an abundant number, since it is smaller than the sum of its proper divisors (99652840).

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

47290880 is a wasteful number, since it uses less digits than its factorization.

47290880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 47290880 is about 6876.8364819879. The cubic root of 47290880 is about 361.6255705414.

The spelling of 47290880 in words is "forty-seven million, two hundred ninety thousand, eight hundred eighty".