395473536 has 128 divisors (see below), whose sum is σ = 1196092800. Its totient is φ = 128563200.

The previous prime is 395473513. The next prime is 395473549. The reversal of 395473536 is 635374593.

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

It is a junction number, because it is equal to n+sod(n) for n = 395473491 and 395473500.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140301 + ... + 143091.

It is an arithmetic number, because the mean of its divisors is an integer number (9344475).

Almost surely, 2^395473536 is an apocalyptic number.

395473536 is a gapful number since it is divisible by the number (36) 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 395473536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598046400).

395473536 is an abundant number, since it is smaller than the sum of its proper divisors (800619264).

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

395473536 is a wasteful number, since it uses less digits than its factorization.

395473536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2837 counting only the distinct ones).

The product of its digits is 1020600, while the sum is 45.

The square root of 395473536 is about 19886.5164370234. The cubic root of 395473536 is about 734.0164770955.

The spelling of 395473536 in words is "three hundred ninety-five million, four hundred seventy-three thousand, five hundred thirty-six".