541749888 has 192 divisors, whose sum is σ = 1675533600. Its totient is φ = 167491584.

The previous prime is 541749877. The next prime is 541749913. The reversal of 541749888 is 888947145.

541749888 is a `hidden beast` number, since 541 + 7 + 4 + 98 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×541749888² = 586985882296025088, which contains 22 as substring.

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, 1159831 + ... + 1160297.

Almost surely, 2^541749888 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 541749888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837766800).

541749888 is an abundant number, since it is smaller than the sum of its proper divisors (1133783712).

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

541749888 is a wasteful number, since it uses less digits than its factorization.

541749888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 544 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The square root of 541749888 is about 23275.5212186537. The cubic root of 541749888 is about 815.2039526203.

The spelling of 541749888 in words is "five hundred forty-one million, seven hundred forty-nine thousand, eight hundred eighty-eight".