541106464 has 96 divisors (see below), whose sum is σ = 1198592640. Its totient is φ = 239112192.

The previous prime is 541106429. The next prime is 541106507. The reversal of 541106464 is 464601145.

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, 737842 + ... + 738574.

It is an arithmetic number, because the mean of its divisors is an integer number (12485340).

Almost surely, 2^541106464 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 541106464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599296320).

541106464 is an abundant number, since it is smaller than the sum of its proper divisors (657486176).

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

541106464 is a wasteful number, since it uses less digits than its factorization.

541106464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 541106464 is about 23261.6952090771. The cubic root of 541106464 is about 814.8810917141.

The spelling of 541106464 in words is "five hundred forty-one million, one hundred six thousand, four hundred sixty-four".