541390560 has 384 divisors, whose sum is σ = 1959552000. Its totient is φ = 124895232.

The previous prime is 541390547. The next prime is 541390561. The reversal of 541390560 is 65093145.

It is a happy number.

It is a super-2 number, since 2×541390560² = 586207476914227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541390561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6082996 + ... + 6083084.

It is an arithmetic number, because the mean of its divisors is an integer number (5103000).

Almost surely, 2^541390560 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 541390560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979776000).

541390560 is an abundant number, since it is smaller than the sum of its proper divisors (1418161440).

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

541390560 is a wasteful number, since it uses less digits than its factorization.

541390560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 541390560 is about 23267.8009274620. The cubic root of 541390560 is about 815.0236785372.

The spelling of 541390560 in words is "five hundred forty-one million, three hundred ninety thousand, five hundred sixty".