557306480 has 80 divisors (see below), whose sum is σ = 1375150080. Its totient is φ = 209454336.

The previous prime is 557306467. The next prime is 557306489. The reversal of 557306480 is 84603755.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557306489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191597 + ... + 194483.

It is an arithmetic number, because the mean of its divisors is an integer number (17189376).

Almost surely, 2^557306480 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 557306480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687575040).

557306480 is an abundant number, since it is smaller than the sum of its proper divisors (817843600).

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

557306480 is a wasteful number, since it uses less digits than its factorization.

557306480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 557306480 is about 23607.3395366780. The cubic root of 557306480 is about 822.9334159392.

The spelling of 557306480 in words is "five hundred fifty-seven million, three hundred six thousand, four hundred eighty".