4838400 has 264 divisors, whose sum is σ = 20306240. Its totient is φ = 1105920.

The previous prime is 4838399. The next prime is 4838443. The reversal of 4838400 is 48384.

It is a Jordan-Polya number, since it can be written as 8! ⋅ 5!.

It is a super-2 number, since 2×4838400² = 46820229120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 691197 + ... + 691203.

Almost surely, 2^4838400 is an apocalyptic number.

4838400 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 4838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10153120).

4838400 is an abundant number, since it is smaller than the sum of its proper divisors (15467840).

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

4838400 is a wasteful number, since it uses less digits than its factorization.

4838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4838400 is about 2199.6363335788. The cubic root of 4838400 is about 169.1351695696.

Multiplying 4838400 by its reverse (48384), we get a square (234101145600 = 483840²).

4838400 divided by its reverse (48384) gives a square (100 = 10²).

The spelling of 4838400 in words is "four million, eight hundred thirty-eight thousand, four hundred".