4614480 has 240 divisors, whose sum is σ = 18280080. Its totient is φ = 1032192.

The previous prime is 4614479. The next prime is 4614487. The reversal of 4614480 is 844164.

4614480 is a `hidden beast` number, since 4 + 614 + 48 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 51984 + 4562496 = 228^2 + 2136^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4614487) 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, 159106 + ... + 159134.

It is an arithmetic number, because the mean of its divisors is an integer number (76167).

Almost surely, 2^4614480 is an apocalyptic number.

4614480 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 4614480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9140040).

4614480 is an abundant number, since it is smaller than the sum of its proper divisors (13665600).

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

4614480 is a wasteful number, since it uses less digits than its factorization.

4614480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4614480 is about 2148.1340740280. The cubic root of 4614480 is about 166.4846724521.

The spelling of 4614480 in words is "four million, six hundred fourteen thousand, four hundred eighty".