506416456 has 32 divisors (see below), whose sum is σ = 1168655040. Its totient is φ = 200340288.

The previous prime is 506416453. The next prime is 506416457. The reversal of 506416456 is 654614605.

It is not an unprimeable number, because it can be changed into a prime (506416453) 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, 347086 + ... + 348541.

It is an arithmetic number, because the mean of its divisors is an integer number (36520470).

Almost surely, 2^506416456 is an apocalyptic number.

506416456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

506416456 is an abundant number, since it is smaller than the sum of its proper divisors (662238584).

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

506416456 is a wasteful number, since it uses less digits than its factorization.

506416456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695653 (or 695649 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 506416456 is about 22503.6987182107. The cubic root of 506416456 is about 797.0812683741.

The spelling of 506416456 in words is "five hundred six million, four hundred sixteen thousand, four hundred fifty-six".