538249680 has 120 divisors (see below), whose sum is σ = 1886272128. Its totient is φ = 137288448.

The previous prime is 538249669. The next prime is 538249711. The reversal of 538249680 is 86942835.

538249680 is a `hidden beast` number, since 5 + 3 + 82 + 496 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×538249680³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309 + ... + 32811.

Almost surely, 2^538249680 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 538249680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943136064).

538249680 is an abundant number, since it is smaller than the sum of its proper divisors (1348022448).

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

538249680 is a wasteful number, since it uses less digits than its factorization.

538249680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32545 (or 32536 counting only the distinct ones).

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

The square root of 538249680 is about 23200.2086197517. The cubic root of 538249680 is about 813.4444994219. Note that the first 4 decimals are identical.

It can be divided in two parts, 53824 and 9680, that added together give a square (63504 = 252²).

The spelling of 538249680 in words is "five hundred thirty-eight million, two hundred forty-nine thousand, six hundred eighty".