538973820 has 288 divisors, whose sum is σ = 2095382016. Its totient is φ = 108864000.

The previous prime is 538973777. The next prime is 538973821. The reversal of 538973820 is 28379835.

538973820 is a `hidden beast` number, since 538 + 97 + 3 + 8 + 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 not an unprimeable number, because it can be changed into a prime (538973821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 512295 + ... + 513345.

It is an arithmetic number, because the mean of its divisors is an integer number (7275632).

Almost surely, 2^538973820 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 538973820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047691008).

538973820 is an abundant number, since it is smaller than the sum of its proper divisors (1556408196).

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

538973820 is a wasteful number, since it uses less digits than its factorization.

538973820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1116 counting only the distinct ones).

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

The square root of 538973820 is about 23215.8096994268. The cubic root of 538973820 is about 813.8091280558.

The spelling of 538973820 in words is "five hundred thirty-eight million, nine hundred seventy-three thousand, eight hundred twenty".