395627400 has 288 divisors, whose sum is σ = 1608647040. Its totient is φ = 85063680.

The previous prime is 395627387. The next prime is 395627413. The reversal of 395627400 is 4726593.

It is an interprime number because it is at equal distance from previous prime (395627387) and next prime (395627413).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 213277 + ... + 215123.

It is an arithmetic number, because the mean of its divisors is an integer number (5585580).

Almost surely, 2^395627400 is an apocalyptic number.

395627400 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 395627400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804323520).

395627400 is an abundant number, since it is smaller than the sum of its proper divisors (1213019640).

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

395627400 is a wasteful number, since it uses less digits than its factorization.

395627400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 395627400 is about 19890.3846116660. The cubic root of 395627400 is about 734.1116575626. Note that the first 3 decimals are identical.

The spelling of 395627400 in words is "three hundred ninety-five million, six hundred twenty-seven thousand, four hundred".