48510000 has 450 divisors, whose sum is σ = 215284212. Its totient is φ = 10080000.

The previous prime is 48509987. The next prime is 48510037. The reversal of 48510000 is 1584.

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 4409995 + ... + 4410005.

Almost surely, 2^48510000 is an apocalyptic number.

48510000 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 48510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107642106).

48510000 is an abundant number, since it is smaller than the sum of its proper divisors (166774212).

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

48510000 is a wasteful number, since it uses less digits than its factorization.

48510000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 48510000 is about 6964.9120597463. The cubic root of 48510000 is about 364.7067137970.

Adding to 48510000 its reverse (1584), we get a palindrome (48511584).

Multiplying 48510000 by its reverse (1584), we get a square (76839840000 = 277200²).

48510000 divided by its reverse (1584) gives a square (30625 = 175²).

The spelling of 48510000 in words is "forty-eight million, five hundred ten thousand".