416023320 has 128 divisors (see below), whose sum is σ = 1349913600. Its totient is φ = 102168576.

The previous prime is 416023229. The next prime is 416023327. The reversal of 416023320 is 23320614.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416023327) 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, 93711 + ... + 98049.

It is an arithmetic number, because the mean of its divisors is an integer number (10546200).

Almost surely, 2^416023320 is an apocalyptic number.

416023320 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 416023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674956800).

416023320 is an abundant number, since it is smaller than the sum of its proper divisors (933890280).

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

416023320 is a wasteful number, since it uses less digits than its factorization.

416023320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4417 (or 4413 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 416023320 is about 20396.6497248935. The cubic root of 416023320 is about 746.5161801669.

Adding to 416023320 its reverse (23320614), we get a palindrome (439343934).

The spelling of 416023320 in words is "four hundred sixteen million, twenty-three thousand, three hundred twenty".