416223252 has 48 divisors (see below), whose sum is σ = 1096804800. Its totient is φ = 136464480.

The previous prime is 416223251. The next prime is 416223277. The reversal of 416223252 is 252322614.

It is a happy number.

416223252 is a `hidden beast` number, since 4 + 1 + 622 + 32 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416223251) 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, 25002 + ... + 38177.

It is an arithmetic number, because the mean of its divisors is an integer number (22850100).

Almost surely, 2^416223252 is an apocalyptic number.

It is an amenable number.

416223252 is an abundant number, since it is smaller than the sum of its proper divisors (680581548).

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

416223252 is a wasteful number, since it uses less digits than its factorization.

416223252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63253 (or 63245 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 416223252 is about 20401.5502352150. The cubic root of 416223252 is about 746.6357476390.

Adding to 416223252 its reverse (252322614), we get a palindrome (668545866).

The spelling of 416223252 in words is "four hundred sixteen million, two hundred twenty-three thousand, two hundred fifty-two".