395549640 has 96 divisors (see below), whose sum is σ = 1292424120. Its totient is φ = 104914944.

The previous prime is 395549621. The next prime is 395549663. The reversal of 395549640 is 46945593.

395549640 is a `hidden beast` number, since 3 + 9 + 554 + 96 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 186978276 + 208571364 = 13674^2 + 14442^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66634 + ... + 72326.

Almost surely, 2^395549640 is an apocalyptic number.

395549640 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 395549640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646212060).

395549640 is an abundant number, since it is smaller than the sum of its proper divisors (896874480).

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

395549640 is a wasteful number, since it uses less digits than its factorization.

395549640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5903 (or 5896 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 395549640 is about 19888.4298022745. The cubic root of 395549640 is about 734.0635582122.

It can be divided in two parts, 39554 and 9640, that added together give a palindrome (49194).

The spelling of 395549640 in words is "three hundred ninety-five million, five hundred forty-nine thousand, six hundred forty".