5262400 has 168 divisors, whose sum is σ = 15873984. Its totient is φ = 1689600.

The previous prime is 5262379. The next prime is 5262437. The reversal of 5262400 is 42625.

5262400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

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, 228789 + ... + 228811.

It is an arithmetic number, because the mean of its divisors is an integer number (94488).

Almost surely, 2^5262400 is an apocalyptic number.

5262400 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 5262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7936992).

5262400 is an abundant number, since it is smaller than the sum of its proper divisors (10611584).

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

5262400 is a wasteful number, since it uses less digits than its factorization.

5262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 5262400 is about 2293.9921534303. The cubic root of 5262400 is about 173.9380587205.

It can be divided in two parts, 526 and 2400, that added together give a triangular number (2926 = T₇₆).

The spelling of 5262400 in words is "five million, two hundred sixty-two thousand, four hundred".