416045223 has 72 divisors (see below), whose sum is σ = 717425280. Its totient is φ = 229763520.

The previous prime is 416045207. The next prime is 416045243. The reversal of 416045223 is 322540614.

416045223 is a `hidden beast` number, since 4 + 1 + 604 + 52 + 2 + 3 = 666.

It is not a de Polignac number, because 416045223 - 2⁴ = 416045207 is a prime.

It is a super-2 number, since 2×416045223² = 346187255162239458, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416045243) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1581790 + ... + 1582052.

It is an arithmetic number, because the mean of its divisors is an integer number (9964240).

Almost surely, 2^416045223 is an apocalyptic number.

416045223 is a deficient number, since it is larger than the sum of its proper divisors (301380057).

416045223 is a wasteful number, since it uses less digits than its factorization.

416045223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 325 counting only the distinct ones).

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

The square root of 416045223 is about 20397.1866442409. The cubic root of 416045223 is about 746.5292809205.

Adding to 416045223 its reverse (322540614), we get a palindrome (738585837).

The spelling of 416045223 in words is "four hundred sixteen million, forty-five thousand, two hundred twenty-three".