416144052 has 18 divisors (see below), whose sum is σ = 1051919778. Its totient is φ = 138714672.

The previous prime is 416144021. The next prime is 416144059. The reversal of 416144052 is 250441614.

416144052 is a `hidden beast` number, since 4 + 1 + 614 + 40 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 406183716 + 9960336 = 20154^2 + 3156^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416144059) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5779743 + ... + 5779814.

Almost surely, 2^416144052 is an apocalyptic number.

It is an amenable number.

416144052 is an abundant number, since it is smaller than the sum of its proper divisors (635775726).

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

416144052 is a wasteful number, since it uses less digits than its factorization.

416144052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11559567 (or 11559562 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 416144052 is about 20399.6091139022. The cubic root of 416144052 is about 746.5883873967.

Adding to 416144052 its reverse (250441614), we get a palindrome (666585666).

The spelling of 416144052 in words is "four hundred sixteen million, one hundred forty-four thousand, fifty-two".