4606417920 has 704 divisors, whose sum is σ = 17827568640. Its totient is φ = 1003487232.

The previous prime is 4606417919. The next prime is 4606417967. The reversal of 4606417920 is 297146064.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78074851 + ... + 78074909.

Almost surely, 2^4606417920 is an apocalyptic number.

4606417920 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 4606417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8913784320).

4606417920 is an abundant number, since it is smaller than the sum of its proper divisors (13221150720).

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

4606417920 is a wasteful number, since it uses less digits than its factorization.

4606417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 4606417920 is about 67870.5968737568. The cubic root of 4606417920 is about 1663.8765934122.

The spelling of 4606417920 in words is "four billion, six hundred six million, four hundred seventeen thousand, nine hundred twenty".