4531697820 has 576 divisors, whose sum is σ = 17000202240. Its totient is φ = 996323328.

The previous prime is 4531697773. The next prime is 4531697857. The reversal of 4531697820 is 287961354.

4531697820 is a `hidden beast` number, since 4 + 531 + 6 + 97 + 8 + 20 = 666.

4531697820 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

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

4531697820 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35682597 + ... + 35682723.

It is an arithmetic number, because the mean of its divisors is an integer number (29514240).

It is a 1-persistent number, because it is pandigital, but 2⋅4531697820 = 9063395640 is not.

Almost surely, 2^4531697820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4531697820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8500101120).

4531697820 is an abundant number, since it is smaller than the sum of its proper divisors (12468504420).

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

4531697820 is a wasteful number, since it uses less digits than its factorization.

4531697820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 190 counting only the distinct ones).

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

The square root of 4531697820 is about 67317.8863304546. The cubic root of 4531697820 is about 1654.8309986458.

The spelling of 4531697820 in words is "four billion, five hundred thirty-one million, six hundred ninety-seven thousand, eight hundred twenty".