557105340 has 192 divisors, whose sum is σ = 1785434112. Its totient is φ = 128563200.

The previous prime is 557105321. The next prime is 557105347. The reversal of 557105340 is 43501755.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 557105298 and 557105307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557105347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1493394 + ... + 1493766.

It is an arithmetic number, because the mean of its divisors is an integer number (9299136).

Almost surely, 2^557105340 is an apocalyptic number.

557105340 is the 19272-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557105340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892717056).

557105340 is an abundant number, since it is smaller than the sum of its proper divisors (1228328772).

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

557105340 is a wasteful number, since it uses less digits than its factorization.

557105340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 557105340 is about 23603.0790364308. The cubic root of 557105340 is about 822.8344011538.

The spelling of 557105340 in words is "five hundred fifty-seven million, one hundred five thousand, three hundred forty".