47416320 has 352 divisors, whose sum is σ = 196512000. Its totient is φ = 10838016.

The previous prime is 47416319. The next prime is 47416331. The reversal of 47416320 is 2361474.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6773757 + ... + 6773763.

Almost surely, 2^47416320 is an apocalyptic number.

47416320 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 47416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98256000).

47416320 is an abundant number, since it is smaller than the sum of its proper divisors (149095680).

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

47416320 is an equidigital number, since it uses as much as digits as its factorization.

47416320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 47416320 is about 6885.9509147249. The cubic root of 47416320 is about 361.9450279254.

Adding to 47416320 its reverse (2361474), we get a palindrome (49777794).

The spelling of 47416320 in words is "forty-seven million, four hundred sixteen thousand, three hundred twenty".