541059480 has 256 divisors, whose sum is σ = 1968624000. Its totient is φ = 131383296.

The previous prime is 541059479. The next prime is 541059509. The reversal of 541059480 is 84950145.

541059480 is a `hidden beast` number, since 54 + 10 + 594 + 8 + 0 = 666.

541059480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 1249344 + ... + 1249776.

Almost surely, 2^541059480 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 541059480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984312000).

541059480 is an abundant number, since it is smaller than the sum of its proper divisors (1427564520).

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

541059480 is a wasteful number, since it uses less digits than its factorization.

541059480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 541059480 is about 23260.6852865516. The cubic root of 541059480 is about 814.8575057940.

The spelling of 541059480 in words is "five hundred forty-one million, fifty-nine thousand, four hundred eighty".