4933248480 has 288 divisors, whose sum is σ = 17626006944. Its totient is φ = 1255108608.

The previous prime is 4933248433. The next prime is 4933248491. The reversal of 4933248480 is 848423394.

4933248480 is a `hidden beast` number, since 4 + 93 + 3 + 2 + 484 + 80 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2822967 + ... + 2824713.

It is an arithmetic number, because the mean of its divisors is an integer number (61201413).

Almost surely, 2^4933248480 is an apocalyptic number.

4933248480 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 4933248480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8813003472).

4933248480 is an abundant number, since it is smaller than the sum of its proper divisors (12692758464).

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

4933248480 is a wasteful number, since it uses less digits than its factorization.

4933248480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 4933248480 is about 70237.0876389390. The cubic root of 4933248480 is about 1702.3322636792.

The spelling of 4933248480 in words is "four billion, nine hundred thirty-three million, two hundred forty-eight thousand, four hundred eighty".