5241600 has 324 divisors, whose sum is σ = 23064496. Its totient is φ = 1105920.

The previous prime is 5241583. The next prime is 5241601. The reversal of 5241600 is 61425.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5241601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 403194 + ... + 403206.

Almost surely, 2^5241600 is an apocalyptic number.

5241600 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 5241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11532248).

5241600 is an abundant number, since it is smaller than the sum of its proper divisors (17822896).

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

5241600 is a wasteful number, since it uses less digits than its factorization.

5241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5241600 is about 2289.4540834007. The cubic root of 5241600 is about 173.7085887196.

The spelling of 5241600 in words is "five million, two hundred forty-one thousand, six hundred".