557506950 has 384 divisors, whose sum is σ = 1919877120. Its totient is φ = 103334400.

The previous prime is 557506931. The next prime is 557506951. The reversal of 557506950 is 59605755.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557506951) 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 191 ways as a sum of consecutive naturals, for example, 7057011 + ... + 7057089.

It is an arithmetic number, because the mean of its divisors is an integer number (4999680).

Almost surely, 2^557506950 is an apocalyptic number.

557506950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 557506950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959938560).

557506950 is an abundant number, since it is smaller than the sum of its proper divisors (1362370170).

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

557506950 is a wasteful number, since it uses less digits than its factorization.

557506950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 236250, while the sum is 42.

The square root of 557506950 is about 23611.5850802101. The cubic root of 557506950 is about 823.0320772030.

The spelling of 557506950 in words is "five hundred fifty-seven million, five hundred six thousand, nine hundred fifty".