541773360 has 360 divisors, whose sum is σ = 2016902160. Its totient is φ = 134991360.

The previous prime is 541773347. The next prime is 541773413. The reversal of 541773360 is 63377145.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17476545 + ... + 17476575.

It is an arithmetic number, because the mean of its divisors is an integer number (5602506).

Almost surely, 2^541773360 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 541773360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008451080).

541773360 is an abundant number, since it is smaller than the sum of its proper divisors (1475128800).

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

541773360 is a wasteful number, since it uses less digits than its factorization.

541773360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 541773360 is about 23276.0254339095. The cubic root of 541773360 is about 815.2157256982.

The spelling of 541773360 in words is "five hundred forty-one million, seven hundred seventy-three thousand, three hundred sixty".