395405494272 has 672 divisors, whose sum is σ = 1276150075200. Its totient is φ = 122043138048.

The previous prime is 395405494259. The next prime is 395405494277. The reversal of 395405494272 is 272494504593.

It is a happy number.

395405494272 is a `hidden beast` number, since 3 + 9 + 54 + 0 + 549 + 42 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (395405494277) 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 55 ways as a sum of consecutive naturals, for example, 1503442813 + ... + 1503443075.

It is an arithmetic number, because the mean of its divisors is an integer number (1899032850).

Almost surely, 2^395405494272 is an apocalyptic number.

395405494272 is a gapful number since it is divisible by the number (32) 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 395405494272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638075037600).

395405494272 is an abundant number, since it is smaller than the sum of its proper divisors (880744580928).

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

395405494272 is an equidigital number, since it uses as much as digits as its factorization.

395405494272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 395405494272 in words is "three hundred ninety-five billion, four hundred five million, four hundred ninety-four thousand, two hundred seventy-two".