395778240 has 504 divisors, whose sum is σ = 1652558544. Its totient is φ = 85708800.

The previous prime is 395778239. The next prime is 395778263. The reversal of 395778240 is 42877593.

395778240 is a `hidden beast` number, since 39 + 577 + 8 + 2 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12767025 + ... + 12767055.

It is an arithmetic number, because the mean of its divisors is an integer number (3278886).

Almost surely, 2^395778240 is an apocalyptic number.

395778240 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 395778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826279272).

395778240 is an abundant number, since it is smaller than the sum of its proper divisors (1256780304).

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

395778240 is a wasteful number, since it uses less digits than its factorization.

395778240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 395778240 is about 19894.1760321960. The cubic root of 395778240 is about 734.2049434273.

The spelling of 395778240 in words is "three hundred ninety-five million, seven hundred seventy-eight thousand, two hundred forty".