393107946 has 96 divisors (see below), whose sum is σ = 998559744. Its totient is φ = 100980000.

The previous prime is 393107921. The next prime is 393107951. The reversal of 393107946 is 649701393.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 393107898 and 393107907.

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, 523071 + ... + 523821.

It is an arithmetic number, because the mean of its divisors is an integer number (10401664).

Almost surely, 2^393107946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393107946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499279872).

393107946 is an abundant number, since it is smaller than the sum of its proper divisors (605451798).

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

393107946 is a wasteful number, since it uses less digits than its factorization.

393107946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 393107946 is about 19826.9499923715. The cubic root of 393107946 is about 732.5500024496.

The spelling of 393107946 in words is "three hundred ninety-three million, one hundred seven thousand, nine hundred forty-six".