5306400 has 216 divisors, whose sum is σ = 20717424. Its totient is φ = 1267200.

The previous prime is 5306393. The next prime is 5306419. The reversal of 5306400 is 46035.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79167 + ... + 79233.

It is an arithmetic number, because the mean of its divisors is an integer number (95914).

Almost surely, 2^5306400 is an apocalyptic number.

5306400 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 5306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10358712).

5306400 is an abundant number, since it is smaller than the sum of its proper divisors (15411024).

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

5306400 is a wasteful number, since it uses less digits than its factorization.

5306400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5306400 is about 2303.5624584543. The cubic root of 5306400 is about 174.4214910530.

The spelling of 5306400 in words is "five million, three hundred six thousand, four hundred".