5246400 has 84 divisors (see below), whose sum is σ = 17228312. Its totient is φ = 1397760.

The previous prime is 5246399. The next prime is 5246407. The reversal of 5246400 is 46425.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5246407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4254 + ... + 5346.

Almost surely, 2^5246400 is an apocalyptic number.

5246400 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 5246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8614156).

5246400 is an abundant number, since it is smaller than the sum of its proper divisors (11981912).

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

5246400 is a wasteful number, since it uses less digits than its factorization.

5246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1103 counting only the distinct ones).

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

The square root of 5246400 is about 2290.5021283553. The cubic root of 5246400 is about 173.7615971418.

The spelling of 5246400 in words is "five million, two hundred forty-six thousand, four hundred".