538626240 has 224 divisors, whose sum is σ = 1962424320. Its totient is φ = 138931200.

The previous prime is 538626217. The next prime is 538626287. The reversal of 538626240 is 42626835.

538626240 is a `hidden beast` number, since 5 + 3 + 8 + 626 + 24 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 538626195 and 538626204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266835 + ... + 268845.

Almost surely, 2^538626240 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 538626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981212160).

538626240 is an abundant number, since it is smaller than the sum of its proper divisors (1423798080).

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

538626240 is a wasteful number, since it uses less digits than its factorization.

538626240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 538626240 is about 23208.3226451202. The cubic root of 538626240 is about 813.6341507232.

It can be divided in two parts, 5386 and 26240, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 538626240 in words is "five hundred thirty-eight million, six hundred twenty-six thousand, two hundred forty".