395854100460 has 1344 divisors, whose sum is σ = 1658433208320. Its totient is φ = 76993597440.

The previous prime is 395854100417. The next prime is 395854100461. The reversal of 395854100460 is 64001458593.

395854100460 is a `hidden beast` number, since 3 + 9 + 5 + 85 + 4 + 100 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (395854100461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1033561429 + ... + 1033561811.

It is an arithmetic number, because the mean of its divisors is an integer number (1233953280).

Almost surely, 2^395854100460 is an apocalyptic number.

395854100460 is a gapful number since it is divisible by the number (30) 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 395854100460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829216604160).

395854100460 is an abundant number, since it is smaller than the sum of its proper divisors (1262579107860).

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

395854100460 is a wasteful number, since it uses less digits than its factorization.

395854100460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 395854100460 in words is "three hundred ninety-five billion, eight hundred fifty-four million, one hundred thousand, four hundred sixty".