416970 has 48 divisors (see below), whose sum is σ = 1120392. Its totient is φ = 107520.

The previous prime is 416963. The next prime is 416989. The reversal of 416970 is 79614.

416970 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 95481 + 321489 = 309^2 + 567^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3634 + ... + 3746.

2⁴¹⁶⁹⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560196).

416970 is an abundant number, since it is smaller than the sum of its proper divisors (703422).

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

416970 is a wasteful number, since it uses less digits than its factorization.

416970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 416970 is about 645.7321426102. The cubic root of 416970 is about 74.7081995053.

The spelling of 416970 in words is "four hundred sixteen thousand, nine hundred seventy".