5224924800 has 144 divisors (see below), whose sum is σ = 18643831830. Its totient is φ = 1393305600.

The previous prime is 5224924781. The next prime is 5224924813. The reversal of 5224924800 is 84294225.

5224924800 is a `hidden beast` number, since 522 + 4 + 92 + 48 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3259953216 + 1964971584 = 57096^2 + 44328^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 61911 + ... + 119510.

Almost surely, 2^5224924800 is an apocalyptic number.

5224924800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5224924800 is an abundant number, since it is smaller than the sum of its proper divisors (13418907030).

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

5224924800 is a wasteful number, since it uses less digits than its factorization.

5224924800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181451 (or 181431 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5224924800 is about 72283.6413028563. The cubic root of 5224924800 is about 1735.2418557332.

The spelling of 5224924800 in words is "five billion, two hundred twenty-four million, nine hundred twenty-four thousand, eight hundred".