541658880 has 288 divisors, whose sum is σ = 2197708800. Its totient is φ = 123752448.

The previous prime is 541658861. The next prime is 541658891. The reversal of 541658880 is 88856145.

541658880 is a `hidden beast` number, since 54 + 16 + 588 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 240801 + ... + 243039.

Almost surely, 2^541658880 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 541658880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098854400).

541658880 is an abundant number, since it is smaller than the sum of its proper divisors (1656049920).

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

541658880 is a wasteful number, since it uses less digits than its factorization.

541658880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 541658880 is about 23273.5661212458. The cubic root of 541658880 is about 815.1583016427.

The spelling of 541658880 in words is "five hundred forty-one million, six hundred fifty-eight thousand, eight hundred eighty".