4609384920 has 512 divisors, whose sum is σ = 18731520000. Its totient is φ = 1005903360.

The previous prime is 4609384919. The next prime is 4609384937. The reversal of 4609384920 is 294839064.

4609384920 is a `hidden beast` number, since 4 + 609 + 38 + 4 + 9 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8519850 + ... + 8520390.

It is an arithmetic number, because the mean of its divisors is an integer number (36585000).

Almost surely, 2^4609384920 is an apocalyptic number.

4609384920 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 4609384920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9365760000).

4609384920 is an abundant number, since it is smaller than the sum of its proper divisors (14122135080).

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

4609384920 is a wasteful number, since it uses less digits than its factorization.

4609384920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 4609384920 is about 67892.4511267637. The cubic root of 4609384920 is about 1664.2337517943.

The spelling of 4609384920 in words is "four billion, six hundred nine million, three hundred eighty-four thousand, nine hundred twenty".