416952 has 24 divisors (see below), whose sum is σ = 1129440. Its totient is φ = 138960.

The previous prime is 416947. The next prime is 416957. The reversal of 416952 is 259614.

416952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (416947) and next prime (416957).

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416957) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2824 + ... + 2967.

It is an arithmetic number, because the mean of its divisors is an integer number (47060).

2⁴¹⁶⁹⁵² is an apocalyptic number.

It is an amenable number.

416952 is an abundant number, since it is smaller than the sum of its proper divisors (712488).

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

416952 is a wasteful number, since it uses less digits than its factorization.

416952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5803 (or 5796 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 416952 is about 645.7182047922. The cubic root of 416952 is about 74.7071244744.

The spelling of 416952 in words is "four hundred sixteen thousand, nine hundred fifty-two".