559780416 has 112 divisors (see below), whose sum is σ = 1772310400. Its totient is φ = 172233216.

The previous prime is 559780393. The next prime is 559780439. The reversal of 559780416 is 614087955.

559780416 is a `hidden beast` number, since 559 + 7 + 80 + 4 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (559780393) and next prime (559780439).

It is a super-2 number, since 2×559780416² = 626708228274266112, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10005 + ... + 34923.

It is an arithmetic number, because the mean of its divisors is an integer number (15824200).

Almost surely, 2^559780416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 559780416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886155200).

559780416 is an abundant number, since it is smaller than the sum of its proper divisors (1212529984).

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

559780416 is a wasteful number, since it uses less digits than its factorization.

559780416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24953 (or 24937 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 559780416 is about 23659.6791187032. The cubic root of 559780416 is about 824.1493115545.

The spelling of 559780416 in words is "five hundred fifty-nine million, seven hundred eighty thousand, four hundred sixteen".