395789400 has 288 divisors, whose sum is σ = 1413659520. Its totient is φ = 99072000.

The previous prime is 395789357. The next prime is 395789417. The reversal of 395789400 is 4987593.

395789400 is a `hidden beast` number, since 39 + 578 + 9 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2287714 + ... + 2287886.

It is an arithmetic number, because the mean of its divisors is an integer number (4908540).

Almost surely, 2^395789400 is an apocalyptic number.

395789400 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 395789400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706829760).

395789400 is an abundant number, since it is smaller than the sum of its proper divisors (1017870120).

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

395789400 is a wasteful number, since it uses less digits than its factorization.

395789400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 395789400 is about 19894.4565143157. The cubic root of 395789400 is about 734.2118443037.

The spelling of 395789400 in words is "three hundred ninety-five million, seven hundred eighty-nine thousand, four hundred".