5398400 has 96 divisors (see below), whose sum is σ = 15304080. Its totient is φ = 1843200.

The previous prime is 5398381. The next prime is 5398409. The reversal of 5398400 is 48935.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5398409) 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, 22280 + ... + 22520.

Almost surely, 2^5398400 is an apocalyptic number.

5398400 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 5398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7652040).

5398400 is an abundant number, since it is smaller than the sum of its proper divisors (9905680).

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

5398400 is a wasteful number, since it uses less digits than its factorization.

5398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 5398400 is about 2323.4457170332. The cubic root of 5398400 is about 175.4237350686.

The spelling of 5398400 in words is "five million, three hundred ninety-eight thousand, four hundred".