541771776 has 576 divisors, whose sum is σ = 2146435200. Its totient is φ = 127401984.

The previous prime is 541771771. The next prime is 541771801. The reversal of 541771776 is 677177145.

It is a tau number, because it is divible by the number of its divisors (576).

Its product of digits (288120) is a multiple of the sum of its prime factors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541771771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28514295 + ... + 28514313.

It is an arithmetic number, because the mean of its divisors is an integer number (3726450).

Almost surely, 2^541771776 is an apocalyptic number.

541771776 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541771776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073217600).

541771776 is an abundant number, since it is smaller than the sum of its proper divisors (1604663424).

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

541771776 is a wasteful number, since it uses less digits than its factorization.

541771776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 61 counting only the distinct ones).

The product of its digits is 288120, while the sum is 45.

The square root of 541771776 is about 23275.9914074567. The cubic root of 541771776 is about 815.2149312067.

The spelling of 541771776 in words is "five hundred forty-one million, seven hundred seventy-one thousand, seven hundred seventy-six".