395395920 has 60 divisors (see below), whose sum is σ = 1327873716. Its totient is φ = 105438720.

The previous prime is 395395907. The next prime is 395395933. The reversal of 395395920 is 29593593.

395395920 is a `hidden beast` number, since 3 + 9 + 53 + 9 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (395395907) and next prime (395395933).

It can be written as a sum of positive squares in 2 ways, for example, as 70963776 + 324432144 = 8424^2 + 18012^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 273861 + ... + 275300.

Almost surely, 2^395395920 is an apocalyptic number.

395395920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

395395920 is an abundant number, since it is smaller than the sum of its proper divisors (932477796).

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

395395920 is a wasteful number, since it uses less digits than its factorization.

395395920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549180 (or 549171 counting only the distinct ones).

The product of its (nonzero) digits is 328050, while the sum is 45.

The square root of 395395920 is about 19884.5648682590. The cubic root of 395395920 is about 733.9684543707.

The spelling of 395395920 in words is "three hundred ninety-five million, three hundred ninety-five thousand, nine hundred twenty".