4612466520 has 192 divisors, whose sum is σ = 15970893120. Its totient is φ = 1150451712.

The previous prime is 4612466513. The next prime is 4612466531. The reversal of 4612466520 is 256642164.

4612466520 is a `hidden beast` number, since 4 + 6 + 124 + 6 + 6 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1019784 + ... + 1024296.

It is an arithmetic number, because the mean of its divisors is an integer number (83181735).

Almost surely, 2^4612466520 is an apocalyptic number.

4612466520 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 4612466520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7985446560).

4612466520 is an abundant number, since it is smaller than the sum of its proper divisors (11358426600).

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

4612466520 is a wasteful number, since it uses less digits than its factorization.

4612466520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4714 (or 4707 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4612466520 is about 67915.1420524171. The cubic root of 4612466520 is about 1664.6045431513.

The spelling of 4612466520 in words is "four billion, six hundred twelve million, four hundred sixty-six thousand, five hundred twenty".