416264141 has 8 divisors (see below), whose sum is σ = 438672000. Its totient is φ = 393906240.

The previous prime is 416264119. The next prime is 416264153. The reversal of 416264141 is 141462614.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 416264141 - 2²² = 412069837 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416264161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5285 + ... + 29333.

It is an arithmetic number, because the mean of its divisors is an integer number (54834000).

Almost surely, 2^416264141 is an apocalyptic number.

It is an amenable number.

416264141 is a deficient number, since it is larger than the sum of its proper divisors (22407859).

416264141 is a wasteful number, since it uses less digits than its factorization.

416264141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24979.

The product of its digits is 4608, while the sum is 29.

The square root of 416264141 is about 20402.5523158256. The cubic root of 416264141 is about 746.6601962086.

The spelling of 416264141 in words is "four hundred sixteen million, two hundred sixty-four thousand, one hundred forty-one".