395248896 has 270 divisors, whose sum is σ = 1374503130. Its totient is φ = 112637952.

The previous prime is 395248883. The next prime is 395248901. The reversal of 395248896 is 698842593.

395248896 is a `hidden beast` number, since 39 + 524 + 8 + 89 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 293642496 + 101606400 = 17136^2 + 10080^2 .

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

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 1015870 + ... + 1016258.

Almost surely, 2^395248896 is an apocalyptic number.

395248896 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 395248896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687251565).

395248896 is an abundant number, since it is smaller than the sum of its proper divisors (979254234).

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

395248896 is an equidigital number, since it uses as much as digits as its factorization.

395248896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 401 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 395248896 is about 19880.8675867025. The cubic root of 395248896 is about 733.8774701609.

The spelling of 395248896 in words is "three hundred ninety-five million, two hundred forty-eight thousand, eight hundred ninety-six".