48840000 has 280 divisors, whose sum is σ = 180917088. Its totient is φ = 11520000.

The previous prime is 48839983. The next prime is 48840007. The reversal of 48840000 is 4884.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48840007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1319982 + ... + 1320018.

Almost surely, 2^48840000 is an apocalyptic number.

48840000 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 48840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90458544).

48840000 is an abundant number, since it is smaller than the sum of its proper divisors (132077088).

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

48840000 is a wasteful number, since it uses less digits than its factorization.

48840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 48840000 is about 6988.5620838625. The cubic root of 48840000 is about 365.5318449213.

Adding to 48840000 its reverse (4884), we get a palindrome (48844884).

Multiplying 48840000 by its reverse (4884), we get a square (238534560000 = 488400²).

48840000 divided by its reverse (4884) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 48 and 840000, that added together give a palindrome (840048).

The spelling of 48840000 in words is "forty-eight million, eight hundred forty thousand".