4877248000 has 80 divisors (see below), whose sum is σ = 12161882304. Its totient is φ = 1950873600.

The previous prime is 4877247967. The next prime is 4877248001. The reversal of 4877248000 is 8427784.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4877248001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25897 + ... + 102103.

Almost surely, 2^4877248000 is an apocalyptic number.

4877248000 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 4877248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6080941152).

4877248000 is an abundant number, since it is smaller than the sum of its proper divisors (7284634304).

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

4877248000 is an frugal number, since it uses more digits than its factorization.

4877248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76240 (or 76214 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 40.

The square root of 4877248000 is about 69837.2966258002. The cubic root of 4877248000 is about 1695.8663119970.

The spelling of 4877248000 in words is "four billion, eight hundred seventy-seven million, two hundred forty-eight thousand".