557069436 has 216 divisors, whose sum is σ = 1882258560. Its totient is φ = 136987200.

The previous prime is 557069431. The next prime is 557069449. The reversal of 557069436 is 634960755.

557069436 is a `hidden beast` number, since 557 + 0 + 6 + 94 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 557069391 and 557069400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557069431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 367921 + ... + 369431.

It is an arithmetic number, because the mean of its divisors is an integer number (8714160).

Almost surely, 2^557069436 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 557069436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941129280).

557069436 is an abundant number, since it is smaller than the sum of its proper divisors (1325189124).

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

557069436 is a wasteful number, since it uses less digits than its factorization.

557069436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 557069436 is about 23602.3184454409. The cubic root of 557069436 is about 822.8167242568.

The spelling of 557069436 in words is "five hundred fifty-seven million, sixty-nine thousand, four hundred thirty-six".