395613504 has 224 divisors, whose sum is σ = 1367210880. Its totient is φ = 110592000.

The previous prime is 395613479. The next prime is 395613527. The reversal of 395613504 is 405316593.

395613504 is a `hidden beast` number, since 3 + 95 + 61 + 3 + 504 = 666.

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

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, 246304 + ... + 247904.

It is an arithmetic number, because the mean of its divisors is an integer number (6103620).

Almost surely, 2^395613504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395613504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683605440).

395613504 is an abundant number, since it is smaller than the sum of its proper divisors (971597376).

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

395613504 is a wasteful number, since it uses less digits than its factorization.

395613504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 395613504 is about 19890.0352940863. The cubic root of 395613504 is about 734.1030624931.

The spelling of 395613504 in words is "three hundred ninety-five million, six hundred thirteen thousand, five hundred four".