395246160 has 60 divisors (see below), whose sum is σ = 1327370772. Its totient is φ = 105398784.

The previous prime is 395246143. The next prime is 395246161. The reversal of 395246160 is 61642593.

395246160 = T₂₃₅₂ + T₂₃₅₃ + ... + T₂₄₈₆.

It is a happy number.

395246160 is a `hidden beast` number, since 39 + 5 + 2 + 4 + 616 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 265559616 + 129686544 = 16296^2 + 11388^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395246161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 273757 + ... + 275196.

Almost surely, 2^395246160 is an apocalyptic number.

395246160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

395246160 is an abundant number, since it is smaller than the sum of its proper divisors (932124612).

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

395246160 is a wasteful number, since it uses less digits than its factorization.

395246160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548972 (or 548963 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 395246160 is about 19880.7987767091. The cubic root of 395246160 is about 733.8757768031.

The spelling of 395246160 in words is "three hundred ninety-five million, two hundred forty-six thousand, one hundred sixty".