541260264 has 128 divisors (see below), whose sum is σ = 1437004800. Its totient is φ = 169720320.

The previous prime is 541260253. The next prime is 541260271. The reversal of 541260264 is 462062145.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6081532 + ... + 6081620.

It is an arithmetic number, because the mean of its divisors is an integer number (11226600).

Almost surely, 2^541260264 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 541260264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718502400).

541260264 is an abundant number, since it is smaller than the sum of its proper divisors (895744536).

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

541260264 is a wasteful number, since it uses less digits than its factorization.

541260264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 541260264 is about 23265.0008381689. Note that the first 3 decimals coincide. The cubic root of 541260264 is about 814.9582896089.

The spelling of 541260264 in words is "five hundred forty-one million, two hundred sixty thousand, two hundred sixty-four".