4955430960 has 240 divisors, whose sum is σ = 18010347264. Its totient is φ = 1263879936.

The previous prime is 4955430959. The next prime is 4955430989. The reversal of 4955430960 is 690345594.

4955430960 is a `hidden beast` number, since 4 + 9 + 554 + 3 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 441579 + ... + 452661.

Almost surely, 2^4955430960 is an apocalyptic number.

4955430960 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 4955430960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9005173632).

4955430960 is an abundant number, since it is smaller than the sum of its proper divisors (13054916304).

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

4955430960 is a wasteful number, since it uses less digits than its factorization.

4955430960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11134 (or 11116 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 4955430960 is about 70394.8219686647. The cubic root of 4955430960 is about 1704.8799759567.

The spelling of 4955430960 in words is "four billion, nine hundred fifty-five million, four hundred thirty thousand, nine hundred sixty".