4888400 has 90 divisors (see below), whose sum is σ = 13036926. Its totient is φ = 1760000.

The previous prime is 4888399. The next prime is 4888409. The reversal of 4888400 is 48884.

Added to its reverse (48884) it gives a square (4937284 = 2222²).

It can be written as a sum of positive squares in 3 ways, for example, as 1308736 + 3579664 = 1144^2 + 1892^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4888409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48350 + ... + 48450.

Almost surely, 2^4888400 is an apocalyptic number.

4888400 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 4888400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6518463).

4888400 is an abundant number, since it is smaller than the sum of its proper divisors (8148526).

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

4888400 is a wasteful number, since it uses less digits than its factorization.

4888400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 4888400 is about 2210.9726366466. The cubic root of 4888400 is about 169.7157880852.

Adding to 4888400 its reverse (48884), we get a square (4937284 = 2222²).

Multiplying 4888400 by its reverse (48884), we get a square (238964545600 = 488840²).

4888400 divided by its reverse (48884) gives a square (100 = 10²).

It can be divided in two parts, 488 and 8400, that added together give a palindrome (8888).

The spelling of 4888400 in words is "four million, eight hundred eighty-eight thousand, four hundred".