416254005 has 32 divisors (see below), whose sum is σ = 742446720. Its totient is φ = 221270400.

The previous prime is 416254001. The next prime is 416254009. The reversal of 416254005 is 500452614.

It is an interprime number because it is at equal distance from previous prime (416254001) and next prime (416254009).

It is not a de Polignac number, because 416254005 - 2² = 416254001 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 416254005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416254001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37330 + ... + 47180.

It is an arithmetic number, because the mean of its divisors is an integer number (23201460).

Almost surely, 2^416254005 is an apocalyptic number.

416254005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

416254005 is a deficient number, since it is larger than the sum of its proper divisors (326192715).

416254005 is a wasteful number, since it uses less digits than its factorization.

416254005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10178 (or 10172 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 416254005 is about 20402.3039140191. The cubic root of 416254005 is about 746.6541357865.

The spelling of 416254005 in words is "four hundred sixteen million, two hundred fifty-four thousand, five".