541056000 has 176 divisors, whose sum is σ = 1801032480. Its totient is φ = 144179200.

The previous prime is 541055953. The next prime is 541056017. The reversal of 541056000 is 650145.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383296 + ... + 384704.

Almost surely, 2^541056000 is an apocalyptic number.

541056000 is a gapful number since it is divisible by the number (50) 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 541056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900516240).

541056000 is an abundant number, since it is smaller than the sum of its proper divisors (1259976480).

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

541056000 is a wasteful number, since it uses less digits than its factorization.

541056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 541056000 is about 23260.6104821004. The cubic root of 541056000 is about 814.8557587833.

The spelling of 541056000 in words is "five hundred forty-one million, fifty-six thousand".