4611458880 has 336 divisors, whose sum is σ = 18439424640. Its totient is φ = 1035915264.

The previous prime is 4611458843. The next prime is 4611458881. The reversal of 4611458880 is 888541164.

4611458880 is a `hidden beast` number, since 4 + 61 + 1 + 4 + 588 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 (4611458881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1187502 + ... + 1191378.

It is an arithmetic number, because the mean of its divisors is an integer number (54879240).

Almost surely, 2^4611458880 is an apocalyptic number.

4611458880 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 4611458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9219712320).

4611458880 is an abundant number, since it is smaller than the sum of its proper divisors (13827965760).

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

4611458880 is a wasteful number, since it uses less digits than its factorization.

4611458880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3966 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 4611458880 is about 67907.7232720992. The cubic root of 4611458880 is about 1664.4833177526.

The spelling of 4611458880 in words is "four billion, six hundred eleven million, four hundred fifty-eight thousand, eight hundred eighty".