395920980 has 288 divisors, whose sum is σ = 1544417280. Its totient is φ = 83462400.

The previous prime is 395920951. The next prime is 395921003. The reversal of 395920980 is 89029593.

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 95 ways as a sum of consecutive naturals, for example, 343405 + ... + 344555.

It is an arithmetic number, because the mean of its divisors is an integer number (5362560).

Almost surely, 2^395920980 is an apocalyptic number.

395920980 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 395920980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772208640).

395920980 is an abundant number, since it is smaller than the sum of its proper divisors (1148496300).

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

395920980 is a wasteful number, since it uses less digits than its factorization.

395920980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 395920980 is about 19897.7631908715. The cubic root of 395920980 is about 734.2931980832.

It can be divided in two parts, 395920 and 980, that added together give a square (396900 = 630²).

The spelling of 395920980 in words is "three hundred ninety-five million, nine hundred twenty thousand, nine hundred eighty".