538624801 has 48 divisors (see below), whose sum is σ = 671448960. Its totient is φ = 427714560.

The previous prime is 538624781. The next prime is 538624811. The reversal of 538624801 is 108426835.

It is a happy number.

It is not a de Polignac number, because 538624801 - 2⁵ = 538624769 is a prime.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (538624811) 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, 5229316 + ... + 5229418.

It is an arithmetic number, because the mean of its divisors is an integer number (13988520).

Almost surely, 2^538624801 is an apocalyptic number.

It is an amenable number.

538624801 is a deficient number, since it is larger than the sum of its proper divisors (132824159).

538624801 is a wasteful number, since it uses less digits than its factorization.

538624801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 538624801 is about 23208.2916432899. The cubic root of 538624801 is about 813.6334261511.

The spelling of 538624801 in words is "five hundred thirty-eight million, six hundred twenty-four thousand, eight hundred one".