4782417920 has 192 divisors, whose sum is σ = 13237136640. Its totient is φ = 1624375296.

The previous prime is 4782417889. The next prime is 4782417947. The reversal of 4782417920 is 297142874.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9819917 + ... + 9820403.

It is an arithmetic number, because the mean of its divisors is an integer number (68943420).

Almost surely, 2^4782417920 is an apocalyptic number.

4782417920 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 4782417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6618568320).

4782417920 is an abundant number, since it is smaller than the sum of its proper divisors (8454718720).

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

4782417920 is a wasteful number, since it uses less digits than its factorization.

4782417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 44.

The square root of 4782417920 is about 69155.0281613709. The cubic root of 4782417920 is about 1684.8031856343.

The spelling of 4782417920 in words is "four billion, seven hundred eighty-two million, four hundred seventeen thousand, nine hundred twenty".