48582600 has 192 divisors, whose sum is σ = 174363840. Its totient is φ = 11059200.

The previous prime is 48582593. The next prime is 48582607. The reversal of 48582600 is 628584.

It is an interprime number because it is at equal distance from previous prime (48582593) and next prime (48582607).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (48582607) 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, 111984 + ... + 112416.

It is an arithmetic number, because the mean of its divisors is an integer number (908145).

Almost surely, 2^48582600 is an apocalyptic number.

48582600 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 48582600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87181920).

48582600 is an abundant number, since it is smaller than the sum of its proper divisors (125781240).

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

48582600 is a wasteful number, since it uses less digits than its factorization.

48582600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 48582600 is about 6970.1219501527. The cubic root of 48582600 is about 364.8885629660. Note that the first 3 decimals are identical.

The spelling of 48582600 in words is "forty-eight million, five hundred eighty-two thousand, six hundred".