557965962 has 64 divisors (see below), whose sum is σ = 1289088000. Its totient is φ = 178701120.

The previous prime is 557965949. The next prime is 557965973. The reversal of 557965962 is 269569755.

It is a happy number.

557965962 is a `hidden beast` number, since 5 + 579 + 6 + 5 + 9 + 62 = 666.

It is a super-2 number, since 2×557965962² = 622652029501170888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 557965899 and 557965908.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 248308 + ... + 250544.

It is an arithmetic number, because the mean of its divisors is an integer number (20142000).

Almost surely, 2^557965962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557965962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644544000).

557965962 is an abundant number, since it is smaller than the sum of its proper divisors (731122038).

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

557965962 is a wasteful number, since it uses less digits than its factorization.

557965962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2422 counting only the distinct ones).

The product of its digits is 5103000, while the sum is 54.

The square root of 557965962 is about 23621.3031393274. The cubic root of 557965962 is about 823.2578908110.

The spelling of 557965962 in words is "five hundred fifty-seven million, nine hundred sixty-five thousand, nine hundred sixty-two".