4542856920 has 256 divisors, whose sum is σ = 17387136000. Its totient is φ = 1033509888.

The previous prime is 4542856919. The next prime is 4542856961. The reversal of 4542856920 is 296582454.

4542856920 is a `hidden beast` number, since 4 + 542 + 85 + 6 + 9 + 20 = 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 63 ways as a sum of consecutive naturals, for example, 1760191 + ... + 1762769.

It is an arithmetic number, because the mean of its divisors is an integer number (67918500).

Almost surely, 2^4542856920 is an apocalyptic number.

4542856920 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 4542856920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8693568000).

4542856920 is an abundant number, since it is smaller than the sum of its proper divisors (12844279080).

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

4542856920 is a wasteful number, since it uses less digits than its factorization.

4542856920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 4542856920 is about 67400.7189872630. The cubic root of 4542856920 is about 1656.1882006228.

The spelling of 4542856920 in words is "four billion, five hundred forty-two million, eight hundred fifty-six thousand, nine hundred twenty".