506404416 has 168 divisors, whose sum is σ = 1641226080. Its totient is φ = 137023488.

The previous prime is 506404391. The next prime is 506404427. The reversal of 506404416 is 614404605.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177336 + ... + 180168.

Almost surely, 2^506404416 is an apocalyptic number.

506404416 is a gapful number since it is divisible by the number (56) 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 506404416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820613040).

506404416 is an abundant number, since it is smaller than the sum of its proper divisors (1134821664).

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

506404416 is a wasteful number, since it uses less digits than its factorization.

506404416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 506404416 is about 22503.4312050407. The cubic root of 506404416 is about 797.0749514819.

The spelling of 506404416 in words is "five hundred six million, four hundred four thousand, four hundred sixteen".