416770965 has 24 divisors (see below), whose sum is σ = 777973560. Its totient is φ = 205179264.

The previous prime is 416770961. The next prime is 416770967. The reversal of 416770965 is 569077614.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14447601 + 402323364 = 3801^2 + 20058^2 .

It is not a de Polignac number, because 416770965 - 2² = 416770961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 416770965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416770961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355630 + ... + 356799.

It is an arithmetic number, because the mean of its divisors is an integer number (32415565).

Almost surely, 2^416770965 is an apocalyptic number.

416770965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

416770965 is a deficient number, since it is larger than the sum of its proper divisors (361202595).

416770965 is a wasteful number, since it uses less digits than its factorization.

416770965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712453 (or 712450 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 416770965 is about 20414.9691403147. The cubic root of 416770965 is about 746.9631062998.

The spelling of 416770965 in words is "four hundred sixteen million, seven hundred seventy thousand, nine hundred sixty-five".