394917120 has 360 divisors, whose sum is σ = 1526978376. Its totient is φ = 96878592.

The previous prime is 394917101. The next prime is 394917143. The reversal of 394917120 is 21719493.

It can be written as a sum of positive squares in 4 ways, for example, as 60466176 + 334450944 = 7776^2 + 18288^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

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 39 ways as a sum of consecutive naturals, for example, 1347694 + ... + 1347986.

Almost surely, 2^394917120 is an apocalyptic number.

394917120 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 394917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763489188).

394917120 is an abundant number, since it is smaller than the sum of its proper divisors (1132061256).

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

394917120 is a wasteful number, since it uses less digits than its factorization.

394917120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 394917120 is about 19872.5217322815. The cubic root of 394917120 is about 733.6720712395.

The spelling of 394917120 in words is "three hundred ninety-four million, nine hundred seventeen thousand, one hundred twenty".