416821120 has 64 divisors (see below), whose sum is σ = 1010607840. Its totient is φ = 164362240.

The previous prime is 416821117. The next prime is 416821127. The reversal of 416821120 is 21128614.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416821127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40854 + ... + 50026.

Almost surely, 2^416821120 is an apocalyptic number.

416821120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505303920).

416821120 is an abundant number, since it is smaller than the sum of its proper divisors (593786720).

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

416821120 is an equidigital number, since it uses as much as digits as its factorization.

416821120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9263 (or 9251 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 416821120 is about 20416.1974912078. The cubic root of 416821120 is about 746.9930687452.

Adding to 416821120 its reverse (21128614), we get a palindrome (437949734).

The spelling of 416821120 in words is "four hundred sixteen million, eight hundred twenty-one thousand, one hundred twenty".