393412560 has 80 divisors (see below), whose sum is σ = 1245563136. Its totient is φ = 102674944.

The previous prime is 393412529. The next prime is 393412561. The reversal of 393412560 is 65214393.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393412561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6159 + ... + 28718.

Almost surely, 2^393412560 is an apocalyptic number.

393412560 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 393412560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622781568).

393412560 is an abundant number, since it is smaller than the sum of its proper divisors (852150576).

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

393412560 is a wasteful number, since it uses less digits than its factorization.

393412560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34940 (or 34934 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 393412560 is about 19834.6303217378. The cubic root of 393412560 is about 732.7391679415.

The spelling of 393412560 in words is "three hundred ninety-three million, four hundred twelve thousand, five hundred sixty".