395703360 has 336 divisors, whose sum is σ = 1517172480. Its totient is φ = 97044480.

The previous prime is 395703359. The next prime is 395703361. The reversal of 395703360 is 63307593.

It is an interprime number because it is at equal distance from previous prime (395703359) and next prime (395703361).

It is a super-2 number, since 2×395703360² = 313162298230579200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (395703361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1460025 + ... + 1460295.

Almost surely, 2^395703360 is an apocalyptic number.

395703360 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 395703360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758586240).

395703360 is an abundant number, since it is smaller than the sum of its proper divisors (1121469120).

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

395703360 is a wasteful number, since it uses less digits than its factorization.

395703360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 36.

The square root of 395703360 is about 19892.2939853603. The cubic root of 395703360 is about 734.1586374171.

The spelling of 395703360 in words is "three hundred ninety-five million, seven hundred three thousand, three hundred sixty".