416909376 has 224 divisors, whose sum is σ = 1344452480. Its totient is φ = 125908992.

The previous prime is 416909371. The next prime is 416909393. The reversal of 416909376 is 673909614.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416909371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1504950 + ... + 1505226.

It is an arithmetic number, because the mean of its divisors is an integer number (6002020).

Almost surely, 2^416909376 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 416909376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672226240).

416909376 is an abundant number, since it is smaller than the sum of its proper divisors (927543104).

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

416909376 is a wasteful number, since it uses less digits than its factorization.

416909376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 416909376 is about 20418.3587979054. The cubic root of 416909376 is about 747.0457867775.

The spelling of 416909376 in words is "four hundred sixteen million, nine hundred nine thousand, three hundred seventy-six".