357968484 has 60 divisors (see below), whose sum is σ = 937689984. Its totient is φ = 119082096.

The previous prime is 357968483. The next prime is 357968549. The reversal of 357968484 is 484869753.

357968484 is a `hidden beast` number, since 3 + 579 + 68 + 4 + 8 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 357968484.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (357968483) 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 19 ways as a sum of consecutive naturals, for example, 239989 + ... + 241475.

Almost surely, 2^357968484 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 357968484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468844992).

357968484 is an abundant number, since it is smaller than the sum of its proper divisors (579721500).

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

357968484 is a wasteful number, since it uses less digits than its factorization.

357968484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 2235 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 357968484 is about 18920.0550739156. The cubic root of 357968484 is about 710.0380089419.

The spelling of 357968484 in words is "three hundred fifty-seven million, nine hundred sixty-eight thousand, four hundred eighty-four".