4917248000 has 300 divisors, whose sum is σ = 14317737252. Its totient is φ = 1685913600.

The previous prime is 4917247981. The next prime is 4917248029. The reversal of 4917248000 is 8427194.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 157351936 + 4759896064 = 12544^2 + 68992^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 702463997 + ... + 702464003.

Almost surely, 2^4917248000 is an apocalyptic number.

4917248000 is a gapful number since it is divisible by the number (40) 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 4917248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7158868626).

4917248000 is an abundant number, since it is smaller than the sum of its proper divisors (9400489252).

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

4917248000 is an frugal number, since it uses more digits than its factorization.

4917248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 4917248000 is about 70123.0917743934. The cubic root of 4917248000 is about 1700.4898242504.

The spelling of 4917248000 in words is "four billion, nine hundred seventeen million, two hundred forty-eight thousand".