378480993 has 16 divisors (see below), whose sum is σ = 552167616. Its totient is φ = 228695040.

The previous prime is 378480961. The next prime is 378481063. The reversal of 378480993 is 399084873.

It is not a de Polignac number, because 378480993 - 2⁵ = 378480961 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (378480493) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5896 + ... + 28137.

It is an arithmetic number, because the mean of its divisors is an integer number (34510476).

Almost surely, 2^378480993 is an apocalyptic number.

378480993 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

378480993 is a deficient number, since it is larger than the sum of its proper divisors (173686623).

378480993 is a wasteful number, since it uses less digits than its factorization.

378480993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34384.

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 378480993 is about 19454.5879678805. The cubic root of 378480993 is about 723.3492322149.

The spelling of 378480993 in words is "three hundred seventy-eight million, four hundred eighty thousand, nine hundred ninety-three".