394439040 has 288 divisors, whose sum is σ = 1436535360. Its totient is φ = 99624960.

The previous prime is 394439039. The next prime is 394439051. The reversal of 394439040 is 40934493.

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

It is a super-2 number, since 2×394439040² = 311164312552243200, which contains 22 as substring.

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 = 394438986 and 394439004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8392297 + ... + 8392343.

It is an arithmetic number, because the mean of its divisors is an integer number (4987970).

Almost surely, 2^394439040 is an apocalyptic number.

394439040 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 394439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718267680).

394439040 is an abundant number, since it is smaller than the sum of its proper divisors (1042096320).

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

394439040 is a wasteful number, since it uses less digits than its factorization.

394439040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 394439040 is about 19860.4894199514. The cubic root of 394439040 is about 733.3758946831.

The spelling of 394439040 in words is "three hundred ninety-four million, four hundred thirty-nine thousand, forty".