393990480 has 240 divisors, whose sum is σ = 1478655360. Its totient is φ = 96920064.

The previous prime is 393990469. The next prime is 393990503. The reversal of 393990480 is 84099393.

It is a tau number, because it is divible by the number of its divisors (240).

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, 251941 + ... + 253499.

It is an arithmetic number, because the mean of its divisors is an integer number (6161064).

Almost surely, 2^393990480 is an apocalyptic number.

393990480 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 393990480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739327680).

393990480 is an abundant number, since it is smaller than the sum of its proper divisors (1084664880).

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

393990480 is a wasteful number, since it uses less digits than its factorization.

393990480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 393990480 is about 19849.1934344950. The cubic root of 393990480 is about 733.0977884472.

The spelling of 393990480 in words is "three hundred ninety-three million, nine hundred ninety thousand, four hundred eighty".