5244518400 has 408 divisors, whose sum is σ = 19113297504. Its totient is φ = 1258291200.

The previous prime is 5244518399. The next prime is 5244518401. The reversal of 5244518400 is 48154425.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5244518399) and next prime (5244518401).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (5244518401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54067152 + ... + 54067248.

Almost surely, 2^5244518400 is an apocalyptic number.

5244518400 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 5244518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9556648752).

5244518400 is an abundant number, since it is smaller than the sum of its proper divisors (13868779104).

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

5244518400 is an equidigital number, since it uses as much as digits as its factorization.

5244518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The square root of 5244518400 is about 72419.0472182561. The cubic root of 5244518400 is about 1737.4082169483.

The spelling of 5244518400 in words is "five billion, two hundred forty-four million, five hundred eighteen thousand, four hundred".