4538400 has 144 divisors (see below), whose sum is σ = 15499008. Its totient is φ = 1152000.

The previous prime is 4538333. The next prime is 4538407. The reversal of 4538400 is 48354.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4538407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74370 + ... + 74430.

It is an arithmetic number, because the mean of its divisors is an integer number (107632).

Almost surely, 2^4538400 is an apocalyptic number.

4538400 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 4538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7749504).

4538400 is an abundant number, since it is smaller than the sum of its proper divisors (10960608).

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

4538400 is a wasteful number, since it uses less digits than its factorization.

4538400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4538400 is about 2130.3520835768. The cubic root of 4538400 is about 165.5646404002.

It can be divided in two parts, 45 and 38400, that multiplied together give a cube (1728000 = 120³).

The spelling of 4538400 in words is "four million, five hundred thirty-eight thousand, four hundred".