394837920 has 216 divisors, whose sum is σ = 1437964164. Its totient is φ = 98316288.

The previous prime is 394837847. The next prime is 394837943. The reversal of 394837920 is 29738493.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 392515344 + 2322576 = 19812^2 + 1524^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3108897 + ... + 3109023.

Almost surely, 2^394837920 is an apocalyptic number.

394837920 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 394837920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718982082).

394837920 is an abundant number, since it is smaller than the sum of its proper divisors (1043126244).

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

394837920 is a wasteful number, since it uses less digits than its factorization.

394837920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 394837920 is about 19870.5289310577. The cubic root of 394837920 is about 733.6230223717.

The spelling of 394837920 in words is "three hundred ninety-four million, eight hundred thirty-seven thousand, nine hundred twenty".