538357680 has 240 divisors, whose sum is σ = 2079866880. Its totient is φ = 122245632.

The previous prime is 538357657. The next prime is 538357681. The reversal of 538357680 is 86753835.

538357680 is a `hidden beast` number, since 538 + 3 + 57 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×538357680² = 579657983229964800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (538357681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1123681 + ... + 1124159.

It is an arithmetic number, because the mean of its divisors is an integer number (8666112).

Almost surely, 2^538357680 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 538357680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039933440).

538357680 is an abundant number, since it is smaller than the sum of its proper divisors (1541509200).

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

538357680 is a wasteful number, since it uses less digits than its factorization.

538357680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 538357680 is about 23202.5360682836. The cubic root of 538357680 is about 813.4989017647.

The spelling of 538357680 in words is "five hundred thirty-eight million, three hundred fifty-seven thousand, six hundred eighty".