538838784 has 288 divisors, whose sum is σ = 1834694400. Its totient is φ = 154275840.

The previous prime is 538838777. The next prime is 538838789. The reversal of 538838784 is 487838835.

538838784 is a `hidden beast` number, since 538 + 8 + 38 + 78 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 538838784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538838789) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1444422 + ... + 1444794.

Almost surely, 2^538838784 is an apocalyptic number.

538838784 is a gapful number since it is divisible by the number (54) 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 538838784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917347200).

538838784 is an abundant number, since it is smaller than the sum of its proper divisors (1295855616).

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

538838784 is a wasteful number, since it uses less digits than its factorization.

538838784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 408 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 538838784 is about 23212.9012404740. The cubic root of 538838784 is about 813.7411577115.

It can be divided in two parts, 53883878 and 4, that multiplied together give a palindrome (215535512).

The spelling of 538838784 in words is "five hundred thirty-eight million, eight hundred thirty-eight thousand, seven hundred eighty-four".