393936480 has 288 divisors, whose sum is σ = 1604746080. Its totient is φ = 89994240.

The previous prime is 393936401. The next prime is 393936503. The reversal of 393936480 is 84639393.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210750 + ... + 212610.

It is an arithmetic number, because the mean of its divisors is an integer number (5572035).

Almost surely, 2^393936480 is an apocalyptic number.

393936480 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 393936480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802373040).

393936480 is an abundant number, since it is smaller than the sum of its proper divisors (1210809600).

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

393936480 is a wasteful number, since it uses less digits than its factorization.

393936480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 393936480 is about 19847.8331311002. The cubic root of 393936480 is about 733.0642943305.

The spelling of 393936480 in words is "three hundred ninety-three million, nine hundred thirty-six thousand, four hundred eighty".