506698416 has 300 divisors, whose sum is σ = 1744665120. Its totient is φ = 141523200.

The previous prime is 506698397. The next prime is 506698427. The reversal of 506698416 is 614896605.

506698416 is a `hidden beast` number, since 506 + 69 + 84 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5016766 + ... + 5016866.

Almost surely, 2^506698416 is an apocalyptic number.

506698416 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 506698416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872332560).

506698416 is an abundant number, since it is smaller than the sum of its proper divisors (1237966704).

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

506698416 is a wasteful number, since it uses less digits than its factorization.

506698416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 506698416 is about 22509.9625943714. The cubic root of 506698416 is about 797.2291725571.

The spelling of 506698416 in words is "five hundred six million, six hundred ninety-eight thousand, four hundred sixteen".