5034400 has 144 divisors (see below), whose sum is σ = 14999040. Its totient is φ = 1612800.

The previous prime is 5034389. The next prime is 5034413. The reversal of 5034400 is 44305.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 162385 + ... + 162415.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

Almost surely, 2^5034400 is an apocalyptic number.

5034400 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 5034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499520).

5034400 is an abundant number, since it is smaller than the sum of its proper divisors (9964640).

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

5034400 is a wasteful number, since it uses less digits than its factorization.

5034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 5034400 is about 2243.7468662931. The cubic root of 5034400 is about 171.3888532323.

Adding to 5034400 its reverse (44305), we get a palindrome (5078705).

The spelling of 5034400 in words is "five million, thirty-four thousand, four hundred".