358649856 has 260 divisors, whose sum is σ = 1141759872. Its totient is φ = 111919104.

The previous prime is 358649839. The next prime is 358649857. The reversal of 358649856 is 658946853.

It is a happy number.

358649856 is a `hidden beast` number, since 3 + 586 + 4 + 9 + 8 + 56 = 666.

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

Its product of digits (6220800) is a multiple of the sum of its prime divisors (75).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (358649857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7630825 + ... + 7630871.

Almost surely, 2^358649856 is an apocalyptic number.

358649856 is a gapful number since it is divisible by the number (36) 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 358649856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570879936).

358649856 is an abundant number, since it is smaller than the sum of its proper divisors (783110016).

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

358649856 is an equidigital number, since it uses as much as digits as its factorization.

358649856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 75 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 358649856 is about 18938.0531206352. The cubic root of 358649856 is about 710.4882286329.

The spelling of 358649856 in words is "three hundred fifty-eight million, six hundred forty-nine thousand, eight hundred fifty-six".