5224406400 has 288 divisors, whose sum is σ = 18736936920. Its totient is φ = 1386086400.

The previous prime is 5224406387. The next prime is 5224406417. The reversal of 5224406400 is 46044225.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8150080 + ... + 8150720.

Almost surely, 2^5224406400 is an apocalyptic number.

5224406400 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 5224406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9368468460).

5224406400 is an abundant number, since it is smaller than the sum of its proper divisors (13512530520).

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

5224406400 is a wasteful number, since it uses less digits than its factorization.

5224406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 5224406400 is about 72280.0553403219. The cubic root of 5224406400 is about 1735.1844654891.

The spelling of 5224406400 in words is "five billion, two hundred twenty-four million, four hundred six thousand, four hundred".