416831964 has 48 divisors (see below), whose sum is σ = 1008325920. Its totient is φ = 133862400.

The previous prime is 416831957. The next prime is 416831969. The reversal of 416831964 is 469138614.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416831969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208152 + ... + 210144.

It is an arithmetic number, because the mean of its divisors is an integer number (21006790).

Almost surely, 2^416831964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416831964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504162960).

416831964 is an abundant number, since it is smaller than the sum of its proper divisors (591493956).

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

416831964 is a wasteful number, since it uses less digits than its factorization.

416831964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 2628 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 416831964 is about 20416.4630629304. The cubic root of 416831964 is about 746.9995466020. Note that the first 3 decimals are identical.

The spelling of 416831964 in words is "four hundred sixteen million, eight hundred thirty-one thousand, nine hundred sixty-four".