395789760 has 224 divisors, whose sum is σ = 1470355200. Its totient is φ = 99947520.

The previous prime is 395789749. The next prime is 395789761. The reversal of 395789760 is 67987593.

395789760 is a `hidden beast` number, since 3 + 9 + 578 + 9 + 7 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 395789697 and 395789706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395789761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162955 + ... + 165365.

Almost surely, 2^395789760 is an apocalyptic number.

395789760 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 395789760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735177600).

395789760 is an abundant number, since it is smaller than the sum of its proper divisors (1074565440).

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

395789760 is a wasteful number, since it uses less digits than its factorization.

395789760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 395789760 is about 19894.4655620602. The cubic root of 395789760 is about 734.2120669105.

The spelling of 395789760 in words is "three hundred ninety-five million, seven hundred eighty-nine thousand, seven hundred sixty".