4958232960 has 128 divisors (see below), whose sum is σ = 15824043360. Its totient is φ = 1320550400.

The previous prime is 4958232947. The next prime is 4958232967. The reversal of 4958232960 is 692328594.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4958232967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3073114 + ... + 3074726.

Almost surely, 2^4958232960 is an apocalyptic number.

4958232960 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 4958232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7912021680).

4958232960 is an abundant number, since it is smaller than the sum of its proper divisors (10865810400).

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

4958232960 is a wasteful number, since it uses less digits than its factorization.

4958232960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 4958232960 is about 70414.7211881152. The cubic root of 4958232960 is about 1705.2012513163.

The spelling of 4958232960 in words is "four billion, nine hundred fifty-eight million, two hundred thirty-two thousand, nine hundred sixty".