395922240 has 336 divisors, whose sum is σ = 1597639680. Its totient is φ = 88104960.

The previous prime is 395922223. The next prime is 395922251. The reversal of 395922240 is 42229593.

395922240 is a `hidden beast` number, since 3 + 9 + 592 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 395922195 and 395922204.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 826321 + ... + 826799.

It is an arithmetic number, because the mean of its divisors is an integer number (4754880).

Almost surely, 2^395922240 is an apocalyptic number.

395922240 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 395922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798819840).

395922240 is an abundant number, since it is smaller than the sum of its proper divisors (1201717440).

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

395922240 is a wasteful number, since it uses less digits than its factorization.

395922240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 395922240 is about 19897.7948526966. The cubic root of 395922240 is about 734.2939770337.

The spelling of 395922240 in words is "three hundred ninety-five million, nine hundred twenty-two thousand, two hundred forty".