395467776 has 264 divisors, whose sum is σ = 1287546624. Its totient is φ = 115875840.

The previous prime is 395467769. The next prime is 395467777. The reversal of 395467776 is 677764593.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395467777) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4764631 + ... + 4764713.

Almost surely, 2^395467776 is an apocalyptic number.

395467776 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 395467776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643773312).

395467776 is an abundant number, since it is smaller than the sum of its proper divisors (892078848).

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

395467776 is a wasteful number, since it uses less digits than its factorization.

395467776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 146 counting only the distinct ones).

The product of its digits is 6667920, while the sum is 54.

The square root of 395467776 is about 19886.3716147516. The cubic root of 395467776 is about 734.0129134728.

The spelling of 395467776 in words is "three hundred ninety-five million, four hundred sixty-seven thousand, seven hundred seventy-six".