395355264 has 128 divisors (see below), whose sum is σ = 1128919680. Its totient is φ = 122142720.

The previous prime is 395355253. The next prime is 395355269. The reversal of 395355264 is 462553593.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395355269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463062 + ... + 463914.

It is an arithmetic number, because the mean of its divisors is an integer number (8819685).

Almost surely, 2^395355264 is an apocalyptic number.

395355264 is a gapful number since it is divisible by the number (34) 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 395355264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564459840).

395355264 is an abundant number, since it is smaller than the sum of its proper divisors (733564416).

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

395355264 is a wasteful number, since it uses less digits than its factorization.

395355264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 946 counting only the distinct ones).

The product of its digits is 486000, while the sum is 42.

The square root of 395355264 is about 19883.5425415090. The cubic root of 395355264 is about 733.9432971019.

The spelling of 395355264 in words is "three hundred ninety-five million, three hundred fifty-five thousand, two hundred sixty-four".