47920320 has 168 divisors, whose sum is σ = 188451744. Its totient is φ = 10948608.

The previous prime is 47920309. The next prime is 47920333. The reversal of 47920320 is 2302974.

It is a tau number, because it is divible by the number of its divisors (168).

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, 18972 + ... + 21348.

Almost surely, 2^47920320 is an apocalyptic number.

47920320 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 47920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94225872).

47920320 is an abundant number, since it is smaller than the sum of its proper divisors (140531424).

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

47920320 is a wasteful number, since it uses less digits than its factorization.

47920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 47920320 is about 6922.4504331920. The cubic root of 47920320 is about 363.2229125124. Note that the first 3 decimals are identical.

The spelling of 47920320 in words is "forty-seven million, nine hundred twenty thousand, three hundred twenty".