47956320 has 192 divisors, whose sum is σ = 177992640. Its totient is φ = 12017664.

The previous prime is 47956319. The next prime is 47956327. The reversal of 47956320 is 2365974.

47956320 is a `hidden beast` number, since 4 + 79 + 563 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47956327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73114 + ... + 73766.

It is an arithmetic number, because the mean of its divisors is an integer number (927045).

Almost surely, 2^47956320 is an apocalyptic number.

47956320 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 47956320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88996320).

47956320 is an abundant number, since it is smaller than the sum of its proper divisors (130036320).

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

47956320 is a wasteful number, since it uses less digits than its factorization.

47956320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 47956320 is about 6925.0501803236. The cubic root of 47956320 is about 363.3138464612.

The spelling of 47956320 in words is "forty-seven million, nine hundred fifty-six thousand, three hundred twenty".