4855291920 has 360 divisors, whose sum is σ = 17884688640. Its totient is φ = 1175938560.

The previous prime is 4855291913. The next prime is 4855291933. The reversal of 4855291920 is 291925584.

It is a happy number.

4855291920 is a `hidden beast` number, since 4 + 8 + 552 + 9 + 1 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45376507 + ... + 45376613.

Almost surely, 2^4855291920 is an apocalyptic number.

4855291920 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 4855291920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8942344320).

4855291920 is an abundant number, since it is smaller than the sum of its proper divisors (13029396720).

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

4855291920 is a wasteful number, since it uses less digits than its factorization.

4855291920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 4855291920 is about 69679.9247990409. The cubic root of 4855291920 is about 1693.3177033022.

The spelling of 4855291920 in words is "four billion, eight hundred fifty-five million, two hundred ninety-one thousand, nine hundred twenty".