5042400 has 144 divisors (see below), whose sum is σ = 17998848. Its totient is φ = 1216000.

The previous prime is 5042393. The next prime is 5042407. The reversal of 5042400 is 42405.

5042400 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (5042393) and next prime (5042407).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5042400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5042407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26305 + ... + 26495.

It is an arithmetic number, because the mean of its divisors is an integer number (124992).

Almost surely, 2^5042400 is an apocalyptic number.

5042400 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 5042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8999424).

5042400 is an abundant number, since it is smaller than the sum of its proper divisors (12956448).

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

5042400 is a wasteful number, since it uses less digits than its factorization.

5042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 5042400 is about 2245.5288909297. The cubic root of 5042400 is about 171.4795879907.

Adding to 5042400 its reverse (42405), we get a palindrome (5084805).

The spelling of 5042400 in words is "five million, forty-two thousand, four hundred".