557466000 has 320 divisors, whose sum is σ = 2214191616. Its totient is φ = 117504000.

The previous prime is 557465977. The next prime is 557466011. The reversal of 557466000 is 664755.

Added to its reverse (664755) it gives a triangular number (558130755 = T₃₃₄₁₀).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 545490 + ... + 546510.

Almost surely, 2^557466000 is an apocalyptic number.

557466000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107095808).

557466000 is an abundant number, since it is smaller than the sum of its proper divisors (1656725616).

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

557466000 is a wasteful number, since it uses less digits than its factorization.

557466000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 557466000 is about 23610.7179052226. The cubic root of 557466000 is about 823.0119255925.

Adding to 557466000 its reverse (664755), we get a triangular number (558130755 = T₃₃₄₁₀).

The spelling of 557466000 in words is "five hundred fifty-seven million, four hundred sixty-six thousand".