5264400 has 120 divisors (see below), whose sum is σ = 17436384. Its totient is φ = 1356800.

The previous prime is 5264383. The next prime is 5264417. The reversal of 5264400 is 44625.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5264383) and next prime (5264417).

It is a tau number, because it is divible by the number of its divisors (120).

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, 49147 + ... + 49253.

Almost surely, 2^5264400 is an apocalyptic number.

5264400 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 5264400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8718192).

5264400 is an abundant number, since it is smaller than the sum of its proper divisors (12171984).

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

5264400 is a wasteful number, since it uses less digits than its factorization.

5264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 5264400 is about 2294.4280333015. The cubic root of 5264400 is about 173.9600912568.

The spelling of 5264400 in words is "five million, two hundred sixty-four thousand, four hundred".