47920160 has 24 divisors (see below), whose sum is σ = 113211756. Its totient is φ = 19168000.

The previous prime is 47920153. The next prime is 47920177. The reversal of 47920160 is 6102974.

47920160 = 401² + 402² + ... + 592².

It can be written as a sum of positive squares in 2 ways, for example, as 44249104 + 3671056 = 6652^2 + 1916^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 149591 + ... + 149910.

Almost surely, 2^47920160 is an apocalyptic number.

47920160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47920160 is an abundant number, since it is smaller than the sum of its proper divisors (65291596).

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

47920160 is a wasteful number, since it uses less digits than its factorization.

47920160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299516 (or 299508 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 47920160 is about 6922.4388765810. The cubic root of 47920160 is about 363.2225082598. Note that the first 3 decimals are identical.

The spelling of 47920160 in words is "forty-seven million, nine hundred twenty thousand, one hundred sixty".