48574080 has 160 divisors (see below), whose sum is σ = 173651940. Its totient is φ = 12939264.

The previous prime is 48574069. The next prime is 48574087. The reversal of 48574080 is 8047584.

48574080 is a `hidden beast` number, since 4 + 8 + 574 + 0 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42928704 + 5645376 = 6552^2 + 2376^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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

It is not an unprimeable number, because it can be changed into a prime (48574087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51372 + ... + 52308.

Almost surely, 2^48574080 is an apocalyptic number.

48574080 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 48574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86825970).

48574080 is an abundant number, since it is smaller than the sum of its proper divisors (125077860).

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

48574080 is an equidigital number, since it uses as much as digits as its factorization.

48574080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 48574080 is about 6969.5107432301. The cubic root of 48574080 is about 364.8672313760.

The spelling of 48574080 in words is "forty-eight million, five hundred seventy-four thousand, eighty".