395266560 has 320 divisors, whose sum is σ = 1410659712. Its totient is φ = 93782016.

The previous prime is 395266537. The next prime is 395266579. The reversal of 395266560 is 65662593.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3694027 + ... + 3694133.

Almost surely, 2^395266560 is an apocalyptic number.

395266560 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 395266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705329856).

395266560 is an abundant number, since it is smaller than the sum of its proper divisors (1015393152).

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

395266560 is a wasteful number, since it uses less digits than its factorization.

395266560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 42.

The square root of 395266560 is about 19881.3118279454. The cubic root of 395266560 is about 733.8884025284. Note that the first 3 decimals are identical.

The spelling of 395266560 in words is "three hundred ninety-five million, two hundred sixty-six thousand, five hundred sixty".