5300400 has 120 divisors (see below), whose sum is σ = 19435264. Its totient is φ = 1209600.

The previous prime is 5300387. The next prime is 5300423. The reversal of 5300400 is 40035.

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 (12).

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, 8085 + ... + 8715.

Almost surely, 2^5300400 is an apocalyptic number.

5300400 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 5300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9717632).

5300400 is an abundant number, since it is smaller than the sum of its proper divisors (14134864).

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

5300400 is a wasteful number, since it uses less digits than its factorization.

5300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 5300400 is about 2302.2597594537. The cubic root of 5300400 is about 174.3557262134.

Adding to 5300400 its reverse (40035), we get a palindrome (5340435).

The spelling of 5300400 in words is "five million, three hundred thousand, four hundred".