4610238480 has 240 divisors, whose sum is σ = 16167541104. Its totient is φ = 1176145920.

The previous prime is 4610238461. The next prime is 4610238499. The reversal of 4610238480 is 848320164.

4610238480 is a `hidden beast` number, since 4 + 610 + 2 + 38 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4610238461) and next prime (4610238499).

It can be written as a sum of positive squares in 8 ways, for example, as 854509824 + 3755728656 = 29232^2 + 61284^2 .

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 (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1623622 + ... + 1626458.

Almost surely, 2^4610238480 is an apocalyptic number.

4610238480 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 4610238480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8083770552).

4610238480 is an abundant number, since it is smaller than the sum of its proper divisors (11557302624).

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

4610238480 is a wasteful number, since it uses less digits than its factorization.

4610238480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4610238480 is about 67898.7369543794. The cubic root of 4610238480 is about 1664.3364723461.

The spelling of 4610238480 in words is "four billion, six hundred ten million, two hundred thirty-eight thousand, four hundred eighty".