47579040 has 288 divisors, whose sum is σ = 179262720. Its totient is φ = 11446272.

The previous prime is 47579033. The next prime is 47579041. The reversal of 47579040 is 4097574.

It is a happy number.

47579040 is a `hidden beast` number, since 47 + 579 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 47578986 and 47579004.

It is not an unprimeable number, because it can be changed into a prime (47579041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1012297 + ... + 1012343.

It is an arithmetic number, because the mean of its divisors is an integer number (622440).

Almost surely, 2^47579040 is an apocalyptic number.

47579040 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 47579040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

47579040 is an abundant number, since it is smaller than the sum of its proper divisors (131683680).

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

47579040 is a wasteful number, since it uses less digits than its factorization.

47579040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 47579040 is about 6897.7561568962. The cubic root of 47579040 is about 362.3585877273.

The spelling of 47579040 in words is "forty-seven million, five hundred seventy-nine thousand, forty".