538603920 has 240 divisors, whose sum is σ = 1903449600. Its totient is φ = 136304640.

The previous prime is 538603913. The next prime is 538603927. The reversal of 538603920 is 29306835.

It is an interprime number because it is at equal distance from previous prime (538603913) and next prime (538603927).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (538603927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1316676 + ... + 1317084.

It is an arithmetic number, because the mean of its divisors is an integer number (7931040).

Almost surely, 2^538603920 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 538603920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951724800).

538603920 is an abundant number, since it is smaller than the sum of its proper divisors (1364845680).

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

538603920 is a wasteful number, since it uses less digits than its factorization.

538603920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 538603920 is about 23207.8417781577. The cubic root of 538603920 is about 813.6229119063.

The spelling of 538603920 in words is "five hundred thirty-eight million, six hundred three thousand, nine hundred twenty".