395871840 has 768 divisors, whose sum is σ = 1828915200. Its totient is φ = 77635584.

The previous prime is 395871781. The next prime is 395871863. The reversal of 395871840 is 48178593.

395871840 is a `hidden beast` number, since 395 + 87 + 184 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7469254 + ... + 7469306.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 2^395871840 is an apocalyptic number.

395871840 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 395871840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914457600).

395871840 is an abundant number, since it is smaller than the sum of its proper divisors (1433043360).

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

395871840 is a wasteful number, since it uses less digits than its factorization.

395871840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 395871840 is about 19896.5283403914. The cubic root of 395871840 is about 734.2628177275.

The spelling of 395871840 in words is "three hundred ninety-five million, eight hundred seventy-one thousand, eight hundred forty".