5026400 has 72 divisors (see below), whose sum is σ = 12592944. Its totient is φ = 1958400.

The previous prime is 5026391. The next prime is 5026403. The reversal of 5026400 is 46205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5026403) 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, 48749 + ... + 48851.

It is an arithmetic number, because the mean of its divisors is an integer number (174902).

Almost surely, 2^5026400 is an apocalyptic number.

5026400 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 5026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6296472).

5026400 is an abundant number, since it is smaller than the sum of its proper divisors (7566544).

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

5026400 is a wasteful number, since it uses less digits than its factorization.

5026400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 5026400 is about 2241.9634252146. The cubic root of 5026400 is about 171.2980223004.

The spelling of 5026400 in words is "five million, twenty-six thousand, four hundred".