394352640 has 288 divisors, whose sum is σ = 1494838800. Its totient is φ = 95354880.

The previous prime is 394352611. The next prime is 394352663. The reversal of 394352640 is 46253493.

394352640 is a `hidden beast` number, since 3 + 9 + 4 + 3 + 5 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 394352595 and 394352604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1013566 + ... + 1013954.

Almost surely, 2^394352640 is an apocalyptic number.

394352640 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 394352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747419400).

394352640 is an abundant number, since it is smaller than the sum of its proper divisors (1100486160).

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

394352640 is a wasteful number, since it uses less digits than its factorization.

394352640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 394352640 is about 19858.3141278408. The cubic root of 394352640 is about 733.3223432696.

The spelling of 394352640 in words is "three hundred ninety-four million, three hundred fifty-two thousand, six hundred forty".