541966320 has 240 divisors, whose sum is σ = 2094723072. Its totient is φ = 123010560.

The previous prime is 541966231. The next prime is 541966333. The reversal of 541966320 is 23669145.

It is a happy number.

541966320 is a `hidden beast` number, since 5 + 4 + 19 + 6 + 632 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 962359 + ... + 962921.

Almost surely, 2^541966320 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 541966320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047361536).

541966320 is an abundant number, since it is smaller than the sum of its proper divisors (1552756752).

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

541966320 is a wasteful number, since it uses less digits than its factorization.

541966320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 541966320 is about 23280.1701024713. The cubic root of 541966320 is about 815.3124976243.

It can be divided in two parts, 54196 and 6320, that added together give a square (60516 = 246²).

The spelling of 541966320 in words is "five hundred forty-one million, nine hundred sixty-six thousand, three hundred twenty".