4959458280 has 640 divisors, whose sum is σ = 21264249600. Its totient is φ = 1009262592.

The previous prime is 4959458249. The next prime is 4959458291. The reversal of 4959458280 is 828549594.

It is a happy number.

4959458280 is a `hidden beast` number, since 4 + 9 + 59 + 4 + 582 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7325302 + ... + 7325978.

It is an arithmetic number, because the mean of its divisors is an integer number (33225390).

Almost surely, 2^4959458280 is an apocalyptic number.

4959458280 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 4959458280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10632124800).

4959458280 is an abundant number, since it is smaller than the sum of its proper divisors (16304791320).

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

4959458280 is a wasteful number, since it uses less digits than its factorization.

4959458280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The square root of 4959458280 is about 70423.4213880581. The cubic root of 4959458280 is about 1705.3417076119.

The spelling of 4959458280 in words is "four billion, nine hundred fifty-nine million, four hundred fifty-eight thousand, two hundred eighty".