5301400 has 48 divisors (see below), whose sum is σ = 13280400. Its totient is φ = 1956480.

The previous prime is 5301391. The next prime is 5301407. The reversal of 5301400 is 41035.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5301407) 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, 1581 + ... + 3619.

It is an arithmetic number, because the mean of its divisors is an integer number (276675).

Almost surely, 2^5301400 is an apocalyptic number.

5301400 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 5301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640200).

5301400 is an abundant number, since it is smaller than the sum of its proper divisors (7979000).

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

5301400 is a wasteful number, since it uses less digits than its factorization.

5301400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 5301400 is about 2302.4769271374. The cubic root of 5301400 is about 174.3666904653.

Adding to 5301400 its reverse (41035), we get a palindrome (5342435).

The spelling of 5301400 in words is "five million, three hundred one thousand, four hundred".