393068880 has 60 divisors (see below), whose sum is σ = 1320058740. Its totient is φ = 104818176.

The previous prime is 393068869. The next prime is 393068911. The reversal of 393068880 is 88860393.

It can be written as a sum of positive squares in 2 ways, for example, as 127509264 + 265559616 = 11292^2 + 16296^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 272245 + ... + 273684.

It is an arithmetic number, because the mean of its divisors is an integer number (22000979).

Almost surely, 2^393068880 is an apocalyptic number.

393068880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

393068880 is an abundant number, since it is smaller than the sum of its proper divisors (926989860).

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

393068880 is a wasteful number, since it uses less digits than its factorization.

393068880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545948 (or 545939 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 393068880 is about 19825.9647936740. The cubic root of 393068880 is about 732.5257353692.

The spelling of 393068880 in words is "three hundred ninety-three million, sixty-eight thousand, eight hundred eighty".