541008414 has 24 divisors (see below), whose sum is σ = 1174165200. Its totient is φ = 180031488.

The previous prime is 541008409. The next prime is 541008437. The reversal of 541008414 is 414800145.

It is a happy number.

It is a Curzon number.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 14307 + ... + 35870.

It is an arithmetic number, because the mean of its divisors is an integer number (48923550).

Almost surely, 2^541008414 is an apocalyptic number.

541008414 is an abundant number, since it is smaller than the sum of its proper divisors (633156786).

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

541008414 is a wasteful number, since it uses less digits than its factorization.

541008414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50784 (or 50781 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 541008414 is about 23259.5875715800. The cubic root of 541008414 is about 814.8318691656.

Adding to 541008414 its reverse (414800145), we get a palindrome (955808559).

The spelling of 541008414 in words is "five hundred forty-one million, eight thousand, four hundred fourteen".