394141440 has 576 divisors, whose sum is σ = 1657700352. Its totient is φ = 77414400.

The previous prime is 394141421. The next prime is 394141457. The reversal of 394141440 is 44141493.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 394141398 and 394141407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9166059 + ... + 9166101.

It is an arithmetic number, because the mean of its divisors is an integer number (2877952).

Almost surely, 2^394141440 is an apocalyptic number.

394141440 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 394141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828850176).

394141440 is an abundant number, since it is smaller than the sum of its proper divisors (1263558912).

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

394141440 is a wasteful number, since it uses less digits than its factorization.

394141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 394141440 is about 19852.9957437159. The cubic root of 394141440 is about 733.1914068773.

The spelling of 394141440 in words is "three hundred ninety-four million, one hundred forty-one thousand, four hundred forty".