5240400 has 120 divisors (see below), whose sum is σ = 18358944. Its totient is φ = 1267200.

The previous prime is 5240399. The next prime is 5240413. The reversal of 5240400 is 40425.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5240400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13002 + ... + 13398.

Almost surely, 2^5240400 is an apocalyptic number.

5240400 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 5240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9179472).

5240400 is an abundant number, since it is smaller than the sum of its proper divisors (13118544).

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

5240400 is a wasteful number, since it uses less digits than its factorization.

5240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 5240400 is about 2289.1919971903. The cubic root of 5240400 is about 173.6953315580.

Adding to 5240400 its reverse (40425), we get a palindrome (5280825).

The spelling of 5240400 in words is "five million, two hundred forty thousand, four hundred".