394824960 has 108 divisors (see below), whose sum is σ = 1366093092. Its totient is φ = 105283584.

The previous prime is 394824943. The next prime is 394824967. The reversal of 394824960 is 69428493.

It can be written as a sum of positive squares in 2 ways, for example, as 263218176 + 131606784 = 16224^2 + 11472^2 .

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 (394824967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5617 + ... + 28656.

Almost surely, 2^394824960 is an apocalyptic number.

394824960 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 394824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683046546).

394824960 is an abundant number, since it is smaller than the sum of its proper divisors (971268132).

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

394824960 is a wasteful number, since it uses less digits than its factorization.

394824960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34300 (or 34283 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 394824960 is about 19870.2028172840. The cubic root of 394824960 is about 733.6149955689.

The spelling of 394824960 in words is "three hundred ninety-four million, eight hundred twenty-four thousand, nine hundred sixty".