538609824 has 60 divisors (see below), whose sum is σ = 1584044154. Its totient is φ = 179535744.

The previous prime is 538609817. The next prime is 538609829. The reversal of 538609824 is 428906835.

538609824 is a `hidden beast` number, since 5 + 38 + 609 + 8 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 317552400 + 221057424 = 17820^2 + 14868^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 538609824.

It is not an unprimeable number, because it can be changed into a prime (538609829) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 101307 + ... + 106490.

Almost surely, 2^538609824 is an apocalyptic number.

538609824 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

538609824 is an abundant number, since it is smaller than the sum of its proper divisors (1045434330).

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

538609824 is a wasteful number, since it uses less digits than its factorization.

538609824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207819 (or 207802 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 538609824 is about 23207.9689761944. The cubic root of 538609824 is about 813.6258847848.

The spelling of 538609824 in words is "five hundred thirty-eight million, six hundred nine thousand, eight hundred twenty-four".