416310420 has 96 divisors (see below), whose sum is σ = 1186593408. Its totient is φ = 109043712.

The previous prime is 416310413. The next prime is 416310437. The reversal of 416310420 is 24013614.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1355907 + ... + 1356213.

It is an arithmetic number, because the mean of its divisors is an integer number (12360348).

Almost surely, 2^416310420 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 416310420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593296704).

416310420 is an abundant number, since it is smaller than the sum of its proper divisors (770282988).

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

416310420 is a wasteful number, since it uses less digits than its factorization.

416310420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 416310420 is about 20403.6864316231. The cubic root of 416310420 is about 746.6878656644.

The spelling of 416310420 in words is "four hundred sixteen million, three hundred ten thousand, four hundred twenty".