5130400 has 108 divisors (see below), whose sum is σ = 14026446. Its totient is φ = 1830400.

The previous prime is 5130397. The next prime is 5130409. The reversal of 5130400 is 40315.

It can be written as a sum of positive squares in 3 ways, for example, as 4276624 + 853776 = 2068^2 + 924^2 .

It is not an unprimeable number, because it can be changed into a prime (5130409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 96774 + ... + 96826.

Almost surely, 2^5130400 is an apocalyptic number.

5130400 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 5130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7013223).

5130400 is an abundant number, since it is smaller than the sum of its proper divisors (8896046).

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

5130400 is a wasteful number, since it uses less digits than its factorization.

5130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 71 counting only the distinct ones).

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

The square root of 5130400 is about 2265.0386310171. The cubic root of 5130400 is about 172.4713948227.

Adding to 5130400 its reverse (40315), we get a palindrome (5170715).

The spelling of 5130400 in words is "five million, one hundred thirty thousand, four hundred".