395015400 has 384 divisors, whose sum is σ = 1556150400. Its totient is φ = 91238400.

The previous prime is 395015393. The next prime is 395015419. The reversal of 395015400 is 4510593.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1193235 + ... + 1193565.

It is an arithmetic number, because the mean of its divisors is an integer number (4052475).

Almost surely, 2^395015400 is an apocalyptic number.

395015400 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 395015400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778075200).

395015400 is an abundant number, since it is smaller than the sum of its proper divisors (1161135000).

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

395015400 is a wasteful number, since it uses less digits than its factorization.

395015400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 395015400 is about 19874.9943396218. The cubic root of 395015400 is about 733.7329273086.

Adding to 395015400 its reverse (4510593), we get a palindrome (399525993).

The spelling of 395015400 in words is "three hundred ninety-five million, fifteen thousand, four hundred".