4617385920 has 168 divisors, whose sum is σ = 18150803424. Its totient is φ = 1055397888.

The previous prime is 4617385849. The next prime is 4617385933. The reversal of 4617385920 is 295837164.

4617385920 is a `hidden beast` number, since 4 + 617 + 3 + 8 + 5 + 9 + 20 = 666.

4617385920 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

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

4617385920 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94359 + ... + 134678.

It is a 1-persistent number, because it is pandigital, but 2⋅4617385920 = 9234771840 is not.

Almost surely, 2^4617385920 is an apocalyptic number.

4617385920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4617385920 is an abundant number, since it is smaller than the sum of its proper divisors (13533417504).

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

4617385920 is a wasteful number, since it uses less digits than its factorization.

4617385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229067 (or 229054 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4617385920 is about 67951.3496554704. The cubic root of 4617385920 is about 1665.1961243960.

The spelling of 4617385920 in words is "four billion, six hundred seventeen million, three hundred eighty-five thousand, nine hundred twenty".