47200320 has 168 divisors, whose sum is σ = 168639744. Its totient is φ = 12566016.

The previous prime is 47200319. The next prime is 47200327. The reversal of 47200320 is 2300274.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 47200293 and 47200302.

It is not an unprimeable number, because it can be changed into a prime (47200327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77457 + ... + 78063.

It is an arithmetic number, because the mean of its divisors is an integer number (1003808).

Almost surely, 2^47200320 is an apocalyptic number.

47200320 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 47200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84319872).

47200320 is an abundant number, since it is smaller than the sum of its proper divisors (121439424).

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

47200320 is an equidigital number, since it uses as much as digits as its factorization.

47200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 47200320 is about 6870.2489037880. The cubic root of 47200320 is about 361.3945905715.

Adding to 47200320 its reverse (2300274), we get a palindrome (49500594).

The spelling of 47200320 in words is "forty-seven million, two hundred thousand, three hundred twenty".