557094720 has 336 divisors, whose sum is σ = 2218261248. Its totient is φ = 117411840.

The previous prime is 557094701. The next prime is 557094721. The reversal of 557094720 is 27490755.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557094721) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 611065 + ... + 611975.

It is an arithmetic number, because the mean of its divisors is an integer number (6601968).

Almost surely, 2^557094720 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 557094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109130624).

557094720 is an abundant number, since it is smaller than the sum of its proper divisors (1661166528).

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

557094720 is a wasteful number, since it uses less digits than its factorization.

557094720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 557094720 is about 23602.8540647101. The cubic root of 557094720 is about 822.8291726053.

The spelling of 557094720 in words is "five hundred fifty-seven million, ninety-four thousand, seven hundred twenty".