4610954880 has 864 divisors, whose sum is σ = 20264290020. Its totient is φ = 959938560.

The previous prime is 4610954867. The next prime is 4610954891. The reversal of 4610954880 is 884590164.

It can be written as a sum of positive squares in 2 ways, for example, as 4583831616 + 27123264 = 67704^2 + 5208^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 148740465 + ... + 148740495.

Almost surely, 2^4610954880 is an apocalyptic number.

4610954880 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 4610954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10132145010).

4610954880 is an abundant number, since it is smaller than the sum of its proper divisors (15653335140).

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

4610954880 is a wasteful number, since it uses less digits than its factorization.

4610954880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 4610954880 is about 67904.0122525908. The cubic root of 4610954880 is about 1664.4226767727.

The spelling of 4610954880 in words is "four billion, six hundred ten million, nine hundred fifty-four thousand, eight hundred eighty".