395032400 has 240 divisors, whose sum is σ = 1181245824. Its totient is φ = 123863040.

The previous prime is 395032397. The next prime is 395032409. The reversal of 395032400 is 4230593.

It is a self number, because there is not a number n which added to its sum of digits gives 395032400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395032409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2046704 + ... + 2046896.

Almost surely, 2^395032400 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 395032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590622912).

395032400 is an abundant number, since it is smaller than the sum of its proper divisors (786213424).

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

395032400 is a wasteful number, since it uses less digits than its factorization.

395032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 395032400 is about 19875.4220080983. The cubic root of 395032400 is about 733.7434528736.

Adding to 395032400 its reverse (4230593), we get a palindrome (399262993).

The spelling of 395032400 in words is "three hundred ninety-five million, thirty-two thousand, four hundred".