395687552 has 64 divisors (see below), whose sum is σ = 852473160. Its totient is φ = 181862400.

The previous prime is 395687543. The next prime is 395687557. The reversal of 395687552 is 255786593.

It can be written as a sum of positive squares in 4 ways, for example, as 381967936 + 13719616 = 19544^2 + 3704^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 395687552.

It is not an unprimeable number, because it can be changed into a prime (395687557) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 666968 + ... + 667560.

Almost surely, 2^395687552 is an apocalyptic number.

395687552 is a gapful number since it is divisible by the number (32) 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 395687552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426236580).

395687552 is an abundant number, since it is smaller than the sum of its proper divisors (456785608).

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

395687552 is a wasteful number, since it uses less digits than its factorization.

395687552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1009 counting only the distinct ones).

The product of its digits is 2268000, while the sum is 50.

The square root of 395687552 is about 19891.8966415976. The cubic root of 395687552 is about 734.1488609570.

The spelling of 395687552 in words is "three hundred ninety-five million, six hundred eighty-seven thousand, five hundred fifty-two".