5438400 has 168 divisors, whose sum is σ = 19653504. Its totient is φ = 1305600.

The previous prime is 5438369. The next prime is 5438401. The reversal of 5438400 is 48345.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5438401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52749 + ... + 52851.

Almost surely, 2^5438400 is an apocalyptic number.

5438400 is a gapful number since it is divisible by the number (50) 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 5438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9826752).

5438400 is an abundant number, since it is smaller than the sum of its proper divisors (14215104).

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

5438400 is a wasteful number, since it uses less digits than its factorization.

5438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 124 counting only the distinct ones).

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

The square root of 5438400 is about 2332.0377355437. The cubic root of 5438400 is about 175.8559427263.

It can be divided in two parts, 54 and 38400, that multiplied together give a square (2073600 = 1440²).

The spelling of 5438400 in words is "five million, four hundred thirty-eight thousand, four hundred".