416948 has 12 divisors (see below), whose sum is σ = 833952. Its totient is φ = 178680.

The previous prime is 416947. The next prime is 416957. The reversal of 416948 is 849614.

416948 is an admirable number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 416948.

It is not an unprimeable number, because it can be changed into a prime (416947) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7418 + ... + 7473.

It is an arithmetic number, because the mean of its divisors is an integer number (69496).

2⁴¹⁶⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

416948 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

416948 is a wasteful number, since it uses less digits than its factorization.

416948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14902 (or 14900 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 416948 is about 645.7151074584. The cubic root of 416948 is about 74.7068855744.

The spelling of 416948 in words is "four hundred sixteen thousand, nine hundred forty-eight".