395604000 has 576 divisors, whose sum is σ = 1631290752. Its totient is φ = 93312000.

The previous prime is 395603983. The next prime is 395604091. The reversal of 395604000 is 406593.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10691982 + ... + 10692018.

It is an arithmetic number, because the mean of its divisors is an integer number (2832102).

Almost surely, 2^395604000 is an apocalyptic number.

395604000 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 395604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815645376).

395604000 is an abundant number, since it is smaller than the sum of its proper divisors (1235686752).

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

395604000 is a wasteful number, since it uses less digits than its factorization.

395604000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 395604000 is about 19889.7963790482. The cubic root of 395604000 is about 734.0971838840.

The spelling of 395604000 in words is "three hundred ninety-five million, six hundred four thousand".