395312940 has 192 divisors, whose sum is σ = 1364912640. Its totient is φ = 94176000.

The previous prime is 395312923. The next prime is 395312947. The reversal of 395312940 is 49213593.

It is a happy number.

395312940 is a `hidden beast` number, since 39 + 531 + 2 + 94 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 395312895 and 395312904.

It is not an unprimeable number, because it can be changed into a prime (395312947) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 361795 + ... + 362885.

It is an arithmetic number, because the mean of its divisors is an integer number (7108920).

Almost surely, 2^395312940 is an apocalyptic number.

395312940 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 395312940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682456320).

395312940 is an abundant number, since it is smaller than the sum of its proper divisors (969599700).

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

395312940 is a wasteful number, since it uses less digits than its factorization.

395312940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 395312940 is about 19882.4782157557. The cubic root of 395312940 is about 733.9171058696.

The spelling of 395312940 in words is "three hundred ninety-five million, three hundred twelve thousand, nine hundred forty".