541550464 has 128 divisors (see below), whose sum is σ = 1398297600. Its totient is φ = 202881024.

The previous prime is 541550459. The next prime is 541550467. The reversal of 541550464 is 464055145.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541550467) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 220089 + ... + 222535.

It is an arithmetic number, because the mean of its divisors is an integer number (10924200).

Almost surely, 2^541550464 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 541550464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699148800).

541550464 is an abundant number, since it is smaller than the sum of its proper divisors (856747136).

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

541550464 is a wasteful number, since it uses less digits than its factorization.

541550464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The square root of 541550464 is about 23271.2368386384. The cubic root of 541550464 is about 815.1039118765.

The spelling of 541550464 in words is "five hundred forty-one million, five hundred fifty thousand, four hundred sixty-four".