4854400 has 96 divisors (see below), whose sum is σ = 12616380. Its totient is φ = 1843200.

The previous prime is 4854391. The next prime is 4854407. The reversal of 4854400 is 44584.

It can be written as a sum of positive squares in 6 ways, for example, as 1498176 + 3356224 = 1224^2 + 1832^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4854407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118380 + ... + 118420.

Almost surely, 2^4854400 is an apocalyptic number.

4854400 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 4854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6308190).

4854400 is an abundant number, since it is smaller than the sum of its proper divisors (7761980).

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

4854400 is a wasteful number, since it uses less digits than its factorization.

4854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 4854400 is about 2203.2702966273. The cubic root of 4854400 is about 169.3214009131.

Adding to 4854400 its reverse (44584), we get a palindrome (4898984).

The spelling of 4854400 in words is "four million, eight hundred fifty-four thousand, four hundred".