4958506080 has 144 divisors (see below), whose sum is σ = 18459224784. Its totient is φ = 1202058240.

The previous prime is 4958506067. The next prime is 4958506081. The reversal of 4958506080 is 806058594.

4958506080 is a `hidden beast` number, since 4 + 9 + 585 + 0 + 60 + 8 + 0 = 666.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4958506081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140679 + ... + 172358.

It is an arithmetic number, because the mean of its divisors is an integer number (128189061).

Almost surely, 2^4958506080 is an apocalyptic number.

4958506080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4958506080 is an abundant number, since it is smaller than the sum of its proper divisors (13500718704).

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

4958506080 is a wasteful number, since it uses less digits than its factorization.

4958506080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313069 (or 313058 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 4958506080 is about 70416.6605285993. The cubic root of 4958506080 is about 1705.2325605898.

The spelling of 4958506080 in words is "four billion, nine hundred fifty-eight million, five hundred six thousand, eighty".