394947072 has 240 divisors, whose sum is σ = 1295854560. Its totient is φ = 114794496.

The previous prime is 394947071. The next prime is 394947073. The reversal of 394947072 is 270749493.

It is an interprime number because it is at equal distance from previous prime (394947071) and next prime (394947073).

It is not an unprimeable number, because it can be changed into a prime (394947071) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1138003 + ... + 1138349.

It is an arithmetic number, because the mean of its divisors is an integer number (5399394).

Almost surely, 2^394947072 is an apocalyptic number.

394947072 is a gapful number since it is divisible by the number (32) 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 394947072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647927280).

394947072 is an abundant number, since it is smaller than the sum of its proper divisors (900907488).

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

394947072 is a wasteful number, since it uses less digits than its factorization.

394947072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 394947072 is about 19873.2753213958. The cubic root of 394947072 is about 733.6906189206.

The spelling of 394947072 in words is "three hundred ninety-four million, nine hundred forty-seven thousand, seventy-two".