48584000 has 56 divisors (see below), whose sum is σ = 120338088. Its totient is φ = 19430400.

The previous prime is 48583991. The next prime is 48584009. The reversal of 48584000 is 48584.

It is an interprime number because it is at equal distance from previous prime (48583991) and next prime (48584009).

It can be written as a sum of positive squares in 4 ways, for example, as 30976 + 48553024 = 176^2 + 6968^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48584009) 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 7 ways as a sum of consecutive naturals, for example, 4964 + ... + 11036.

Almost surely, 2^48584000 is an apocalyptic number.

48584000 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 48584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60169044).

48584000 is an abundant number, since it is smaller than the sum of its proper divisors (71754088).

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

48584000 is an equidigital number, since it uses as much as digits as its factorization.

48584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6100 (or 6080 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 48584000 is about 6970.2223780881. Note that the first 3 decimals coincide. The cubic root of 48584000 is about 364.8920679183.

48584000 divided by its reverse (48584) gives a cube (1000 = 10³).

The spelling of 48584000 in words is "forty-eight million, five hundred eighty-four thousand".