5384400 has 120 divisors (see below), whose sum is σ = 19742784. Its totient is φ = 1228800.

The previous prime is 5384389. The next prime is 5384437. The reversal of 5384400 is 44835.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8080 + ... + 8720.

Almost surely, 2^5384400 is an apocalyptic number.

5384400 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 5384400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9871392).

5384400 is an abundant number, since it is smaller than the sum of its proper divisors (14358384).

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

5384400 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (5384399) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (669).

5384400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 658 counting only the distinct ones).

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

The square root of 5384400 is about 2320.4309944491. The cubic root of 5384400 is about 175.2719580980.

The spelling of 5384400 in words is "five million, three hundred eighty-four thousand, four hundred".