394922880 has 384 divisors, whose sum is σ = 1558103040. Its totient is φ = 91238400.

The previous prime is 394922873. The next prime is 394922887. The reversal of 394922880 is 88229493.

It is an interprime number because it is at equal distance from previous prime (394922873) and next prime (394922887).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×394922880² = 311928162294988800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394922887) 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 47 ways as a sum of consecutive naturals, for example, 1457145 + ... + 1457415.

It is an arithmetic number, because the mean of its divisors is an integer number (4057560).

Almost surely, 2^394922880 is an apocalyptic number.

394922880 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 394922880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779051520).

394922880 is an abundant number, since it is smaller than the sum of its proper divisors (1163180160).

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

394922880 is a wasteful number, since it uses less digits than its factorization.

394922880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 394922880 is about 19872.6666554844. Note that the first 4 decimals coincide. The cubic root of 394922880 is about 733.6756381741.

The spelling of 394922880 in words is "three hundred ninety-four million, nine hundred twenty-two thousand, eight hundred eighty".