393032880 has 120 divisors (see below), whose sum is σ = 1362591360. Its totient is φ = 101422080.

The previous prime is 393032851. The next prime is 393032891. The reversal of 393032880 is 88230393.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×393032880² = 308949689522188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13516 + ... + 31124.

It is an arithmetic number, because the mean of its divisors is an integer number (11354928).

Almost surely, 2^393032880 is an apocalyptic number.

393032880 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 393032880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681295680).

393032880 is an abundant number, since it is smaller than the sum of its proper divisors (969558480).

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

393032880 is a wasteful number, since it uses less digits than its factorization.

393032880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17659 (or 17650 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 393032880 is about 19825.0568725540. The cubic root of 393032880 is about 732.5033714080.

The spelling of 393032880 in words is "three hundred ninety-three million, thirty-two thousand, eight hundred eighty".